factorise:
a) 32x⁴-8y²​

Answers

Answer 1

Answer:

8(2x² - y)(2x² + y)

Step-by-step explanation:

32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term

= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

4[tex]x^{4}[/tex] - y²

= [tex](2x^2)^{2}[/tex] - y²

= (2x² - y)(2x² + y)

Thus

32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)


Related Questions

What is the equation of the line through (7, -1) with slope -3?

Select one:

a.
y = 3x - 22


b.
y = -3x - 20


c.
y = -3x + 20


d.
y = -3x + 22

Answers

Answer:

y = -3x + 20

Step-by-step explanation:

Slope: - 3

b = -1 - (-3)(7) = -1 + 21 = 20

help help help please

Answers

Answer:

28

Step-by-step explanation:

first substract 49-21 which will give u 28.

then use this 28 for the other trapezium

add up 24 and 28 together which give 52. then substract 52 from 24 which will give u the answer 28. so therefore 28 is the answer.

hope u understood

More coins for youuu + follow for brainliest :)​

Answers

Answer:

10 + 78.567 = 88.567

Step-by-step explanation: thank you

Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9)
y =

Answers

Answer:

y =5

Step-by-step explanation:

m=

−9−7

5−5

=

−16

0

=0

y=mx+b

5=(0)(7)+b

b=5

therefore y = 5

Answer:  y = -2x - 1

Step-by-step explanation:

We can calculate the slope from the two given points.  Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)

Rise is (-9 -3) = -12

Run is (4 - (-2)) = 6

Slope = Rise/Run = -12/6 = -2

The line is y = -2x + b

Find b by using either of the two known points (solutions).  I'll choose (-2,3) [because I like smaller numbers]

y = -2x + b

3 = -2*(-2) + b

b = -1  [That was only slightly easier than -9 = -2*(4) + b; b = -1]

The equation is y = -2x - 1

Hello, please help :) It’s about tables, I have ADHD trouble understanding as well (Please give explanation so I can understand)

Answers

a. 240 - 144 = 96 Adult males

260 - 129 = 131 Female children

b. 275-225 = 50 more children

c. 225/500 simplifies to 9/20 visitors are adults

d. 240:260

e. 144/500 chance that it is a male child

Okay so for a number 1 they want you to subtract the total from the child or adult. so for males, they want you to subtract 240 from 144. 240 - 144 equals 96 so there are 96 adults in males. moving on to the female we have to find how many children there are so, we have to subtract 260 from 129 which will equal 131. 131 is how many children are females.

For "B" we have to work out how many child visitors there are than adults. Easy we just have to subtract 275 from 225 which will equal 50!

Now for question C, we have to write the adult total in the lowest term what they mean by that is a fraction said to be written using the lowest terms if its numerator and denominator are relatively prime, that is, they have no common factors other than 1. So the lowest term for the adult is 9/4

Now for question D, they want us to make a ratio for the number of males and for the number of females. A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The ratio for the male is 96:144 (for every 96 adults there are 144 children) The ratio for females is 129:131 (for every 129 female there are 131 children)!

For E it is a probaIlity that there is a 144/500 chance there's a male child! Not much I can explain for E because that's a hard one but that's the answer for E

negative 4 plus what equals negative 2?

Answers

Answer: x = 2

Explanation:

-4 + x = -2

x = 2

-14=-20y-7x
10y+4=2x

Solve by Elimination please!

Answers

Answer:

x = 2    y = 0

Step-by-step explanation:

Which of the following is true?

Answers

Answer:

RT is an altitude of GRS

Step-by-step explanation:

An altitude is an angle that shoots through the tip of a triangle. RT and QRS share that.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct statement is :

RT is an altitude of Triangle QRS

You are asked to create a solution that is 3 parts water and 2 parts bleach. You have 4 liters of bleach. How much water should you add?

Answers

Step-by-step explanation:

If this is 3L water : 2L bleach then this following measures and answers are the answer.

3L:2L

?L:4L

4L/2L= 2L

so therefore

3L* 2L = 6L

so

6L water : 4L bleach

6L water

Joseph traveled from Boston to Framingham at 50 mph and then back to Boston at 40 mph. What was Joseph’s average speed on the round trip?

Answers

Answer:

50+40/2=70

Step-by-step explanation:

mark me as brainliest

(a + b + 1)2
– (a + b + 1)(x - 2) + (a + b + 1)

Answers

Answer: 5a + 5b + 5 - x(a + b)

Step-by-step explanation:

(a + b + 1)2 – (a + b + 1)(x - 2) + (a + b + 1)

2a + 2b + 2 - (ax - 2a + bx -2b -2) + (a + b + 1)

2a + 2b + 2 - ax + 2a - bx +2b +2 + a + b + 1

5a + 5b + 5 - x(a + b)

I need help w/ this please help me!!

Answers

Answer:B

Step-by-step explanation:

B

Answer:

y = -4/3x - 4

Step-by-step explanation:

use percent proportion 50 is 25%

Answers

Answer:

By using the formula, Parts /whole = percent/100, ⇒ 25/ 50 × 100 = 50%. So, 50 % of 50 is 25 proportion.

The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches, find the dimensions of the rectangle

Answers

Answer:

length = 12

width = 9

Step-by-step explanation:

Let w= width of rectangle

length = w + 3

2w + 2(w + 3) = 42

2w + 2w + 6 = 42

4w = 36

w = 9 ( width of rectangle)

width = 9 inches

length = 9 + 3 = 12 inches

Fixed Please Answer All Three Questions And Correctly

Answers

#1

Midsegment is half the parallel side:

11x + 5 = 2(3x + 5)11x + 5 = 6x + 1011x - 6x = 10 - 55x = 5x = 1Midsegment length = 3*1 + 5 = 8Third side length = 8*2 = 16#2

ORT is isosceles, the angles O and R are equal and measure:

1/2(180 - 72) = 1/2(108) = 54

IRN is isosceles, the angles N and I are equal and measure:

1/2(180 - 54) = 1/2(126) = 63°#3

ABC is isosceles, the angles A and B are equal and measure:

1/2(180 - 50) = 1/2(130) = 65°

Cost of a shirt: $14.95

Discount: 45%

Tax: 6%

What is the new cost?

Answers

Answer:

$10.28

Step-by-step explanation:

A fence is 7 feet 6 inches high.
1 foot=12 inches
What is the height of the fence in centimetres?

Answers

Answer:

228.6 centimeters

Step-by-step explanation:

We remember that 1 inch is 2.54 centimeters.

We also know that 7 feet 6 inches is equal to 7*12+6 inches, which equals 90 inches.

So, 7 feet 6 inches is 90 inches is [tex]\boxed{228.6}[/tex] centimeters.

Help me simplify the expressions pleaseddees.....!!!! It's in a picccc​

Answers

Answer:

answer in explanation

Step-by-step explanation:

1. = 7x

2. =10x+ 7y

3. =8A + 10B - 1C

4. = 9M + 13N

5. = 5 x+ 9y + 18z

6. = 6x

7. = 20B

8, = 40C

9. = -18w

1 peck= how many quarts

Answers

Answer:

9.30918

Step-by-step explanation:

Simplify
x² - 9 / х^2 - 3x

Answers

Answer:

[tex]\frac{x+3}{x}[/tex]

Step-by-step explanation:

Factorise numerator and denominator

x² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 9

= x² - 3² = (x - 3)(x + 3)

x² - 3x ← factor out x from each term

= x(x - 3)

Then

[tex]\frac{x^2-9}{x^2-3x}[/tex]

= [tex]\frac{(x-3)(x+3)}{x(x-3)}[/tex] ← cancel common factor (x - 3) on numerator/denominator

= [tex]\frac{x+3}{x}[/tex]

Here is the answer!:)

Solve each equation
1.0=x^2-7x-18

2. x^2 + 10x = 39

3. 0= x^2-10x+12


4. 2x^2+4x =0

5. 3x^2 -22 +7=0

show work​

Answers

Step-by-step explanation:

1.

[tex]0 = {x}^{2} - 7x - 18 \\ 0 = {x}^{2} + 2x - 9x - 18 \\ 0 = x(x + 2) - 9(x + 2) \\ 0 = (x + 2)(x - 9) \\ \\ \\ (x + 2) = 0 \: \: \: \: or \: \: \: \: (x - 9) = 0 \\ \\if \: \:x + 2 = 0 \\x = 0 - 2 \\ x = (- 2) \\ \\ if \: \:x - 9 = 0 \\ x = 0 + 9 \\ x = 9 \\ [/tex]


Student Council plans on selling fresh hamburgers at the homecoming game. They
bought 40 lbs of ground chuck to use to make burgers and each burger uses 0.25 lbs
of chuck to make. What is the most amount of burgers they can sell at the game

Answers

Answer:

Student Council can make at the most 160 fresh burgers.

Step-by-step explanation:

Take 0.25 and divide it by 40.

0.25 / 40 = 160

4/1 = 12/y ​what does y= its on khan academy

Answers

Answer:

3

Step-by-step explanation:

12÷4= 3

1×3=3

4/1=12/3

(9r ^3 + 5r^2 + 11r ) + (2r^3 +9r - 8r^2)

Answers

Answer:

11r3−3r2+20r

Step-by-step explanation:

let me know if its wrong

(-2)^6 + (-3)^2

Evaluate The Problem

Answers

Answer:

73

Step-by-step explanation:

(−2)  

6

+(−3)  

2

 

Calculate −2 to the power of 6 and get 64.

64+(−3)  

2

 

Calculate −3 to the power of 2 and get 9.

64+9

Add 64 and 9 to get 73.

73

Help me plz! I WILL MARK YOU BRAINLYST

Answers

Answer:

6.5 rounded from 6.53...

to see if this is correct we can:

13.5+9.5+6.5*3 = 42.5

but since we rounded it we can say its 6.5

Answer:

6.55 meters each day

Step-by-step explanation:

You know that in the end the fence must be 42.6 meters long.

On Monday & Tuesday, he installed 22.95 meters of fence. (We know this because 13.45 + 9.5 = 22.95).

So, how much is left? You find that by subtracting 22.95 from 42.6.

42.6-22.95 = 19.65 meters

There are 3 days left of fencing, and these days he will install equal lengths, so you can divide 19.65 meters by 3 days.

19.65 / 3 = 6.55 meters of fence per day

could a triangle have angle measures of 112° 57° and 11°? explain hw u know​

Answers

The additional of a triangle's degree measure will always equal 180˚

When the question asks you if a triangle with 112˚, 57˚, and 11˚, you have to add them up and make sure they equal to 180˚

In this case, 112˚ + 57˚ + 11˚ DO add up to 180˚, and is indeed a triangle.

Larry Gold’s gross pay for this week as a stock clerk for Hensley’s is $375.15. He is single and claims 2 allowances. Using the percentage method of withholding, what is his withholding for federal income tax?

Answers

Larry gold is withholding $22.38 in federal tax income.

The federal government and the majority of states in the US impose income taxes.

Applying a tax rate to taxable income, which is the entire income less permissible deductions, yields the income taxes, which may rise as income rises. Income is a broad concept. Estates and trusts may be subject to taxation on income that has not been dispersed, in addition to individuals, corporations, and the government. (With a few exceptions for Federal income taxation) Partnerships are not subject to taxation; however, the partners of a partnership are. While nonresidents are solely subject to local taxes, residents and citizens are subject to worldwide taxes. Numerous credit kinds lower taxes, and some credit types may even be more than taxes before credits. There is an alternative tax.

Given that Larry gross pay for this week is $375.15

Now we know from the income tax table that the withheld tax is calculated by calculating 6% of the gross pay when there are 2 allowances.

Tax  = 6% of 375.15 = 22.38

Hence the withholding for federal income tax is $22.38 .

To learn more about  federal income tax visit:

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- 2/3+ 1/3 helpppp lol

Answers

-0.33333333333

Step-by-step explanation:

23+13 = ?

The two fractions already have like denominators, so just add the numerators:

-23+13=-2 + 13=-13

The result is:

-23+13=–13

Answer:

-2/3 + 1/3 = -1/3

Step-by-step explanation:

using addition to solve a fraction with the same base

step 1: take the denominator of both fractions and clear them from the equation

ex: -2/3 + 1/3 = ?   (-2 + 1 = ?)

step 2: solve the new equation -2 + 1 to get your answer of

ex: -2 + 1 = ?   (-2 + 1 = -1)

step 3: since both denominators of the fractions have the same number then our answer will also have a denominator of 3 giving us the answer to the problem -2/3 + 1/3 = ? is -1/3

plz give brain if this helps and is correct. thx

Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?

If h represents the hourly fee, which equation models this problem?

What was the hourly fee for the rototiller?

Answers

Answer:
If h represents the hourly fee, which equation models this problem?
7h+43=64

What was the hourly few for the rorotiller
$3

Step-by-step explanation:

The hourly fee is $3.00 per hour.

It is required to find the hourly fee for the rototiller.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let h represents the hourly fee.

Let C be the total charge and t be the rental time in hours.

C = ht + 43

Putting the given values into the equation, we get:

64 = 7h + 43

7h = 21

h = 3

Therefore, the hourly fee is $3.00 per hour.

Learn more details about arithmetic here:

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