Factor out the GCF of (2x+1)

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Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)

Answers

You can simply expand each product and see whether it gives you a difference of squares.

•   $\mathsf{(-7x+4)\cdot (-7x+4)}$

That's actually $\mathsf{(-7x+4)^2:}$

$\mathsf{(-7x+4)^2}\n\n \mathsf{=(-7x+4)\cdot (-7x+4)}\n\n \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\n\n \mathsf{=49x^2-28x-28x+16}$

$\mathsf{=49x^2-56x+16}$   ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (4-7x)}$

$\mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\n\n \mathsf{=-28x+16-(-49x^2+28x)}\n\n \mathsf{=-28x+16+49x^2-28x}$

$\mathsf{=49x^2-56x+16}$ ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (-7x-4)}$

$\mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\n\n \mathsf{=49x^2-28x-(-28x+16)}\n\n \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\n\n \mathsf{=49x^2-16}$

$\mathsf{=(7x)^2-4^2}$   ✔

That is a difference of two squares.

—————

•   $\mathsf{(-7x+4)\cdot (7x-4)}$

$\mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\n\n \mathsf{=-49x^2+28x-(-28x+16)}\n\n \mathsf{=-49x^2+28x+28x-16}$

$\mathsf{=-49x^2+56x-16}$   ✖

which is not a difference of squares.

—————

Only the third option will result in a difference of squares.

Answer: (− 7x + 4) · (− 7x − 4).

I hope this helps. =)

Answer:

The expression which will result in difference of two squares is:

(–7x + 4)·(–7x – 4)

Step-by-step explanation:

We know that the formula of the type:

$(a-b).(a+b)=a^2-b^2$

i.e. it is a difference of two square quantities. (a^2 and b^2)

Hence the option which satisfies the following expression is:

(-7x + 4)·(-7x-4)

since,

here $a=-7x$ and $b=4$ and

$(-7x+4).(-7x-4)=(-7x)^2-(4)^2=(7x)^2-4^2$

so the expression is a difference of two square quantities:

$(7x)^2$ and $4^2$

Hence, the correct answer is:

(-7x + 4)·(-7x-4)

PLZ SHOW STEP BY STEP EXPLANATION FOR BRAINLIEST Three monkeys met for tea in their favourite café, taking off their hats as they arrived. When they left, they each put on one of the hats at random.

What is the probability that they all left wearing the wrong hat?

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Answer:

2/6 or 1/3

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

Call monkeys A, B and C and hats 1, 2 and 3

You have :

A1, B2, C3 (all have the right hat)
A2, B1, C3
And so on.

Now, a little more advanced way to solve this is to count in your head. Each outcome gives you a permutation of {1, 2, 3} so there are 3! = 6 Outcomes. Now, if they all wear the wrong hat, you have two choices for the hat of A and then only one choices for B and C. For instance you can choose A2 or A3. If you choose A2 then you must choose B3 and C1.

Carols pencil is 18 centimeters long .How many millimeters long is the pencilCarol Spencer is 18 cm long how many millimeters long is the pencil

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1 centimeter is 10 milimeters so when you multiply 18 times 10=180

Multiply (4x-3w)(5x-7w)

Answers

Answer:

20x² - 43xw + 21w²

Step-by-step explanation:

We use FOIL to expand the expression:

F - First

4x(5x) = 20x²

O - Outside

4x(-7w) = -28xw

I - Inside

-3w(5x) = -15xw

L - Last

-3w(-7w) = 21w²

20x² - 28xw - 15xw + 21w²

Combine like terms and add up using correct signs and you should get your answer.

Answer:

$20 {x}^(2) - 43xw + 21 {w}^(2)$

solution,

$(4x - 3w)(5x - 7w) \n = 4x(5x - 7w) - 3w(5x - 7w) \n = 20 {x}^(2) - 28xw - 15xw + 21 {w}^(2) \n = 20 {x}^(2) - 43xw + 21 {w}^(2)$

Hopethishelps...

Goodluck on your assignment..

Please help me solve this!

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Answer:

Step-by-step explanation:

a) AB=2AM

A__________M__________B

If M is the midpoint of AB, then AM = MB

Since AM=MB MB=2AM

Therefore AB=2AM

b)AM=1/2MB

sincs M is midpoint of AB.

then AM=BM....(1)

and also AM+BM=AB

AM+AM=AB from (1)..AM=BM

2AM=AB

AM=1/2AB

The area of a triangle can be found using the formula:Area=1/2=base=height
Find the area of the triangle pictured below where the measurements are given in meters, (M)
2m
5m

Answers

Answer:

5 squared units

Step-by-step explanation:

Area of triangle

$= (1)/(2) * base * height \n \n = (1)/(2) * 2 * 5 \n \n = 5 \: {unit}^(2)$

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