Question

Find the value of x. (4x-101) (2x+3) A. 31 B.107 C.52 D.46

Answer 1

Hi student, let me help you out! :)

. . .  . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the value of x in $\mathrm{(4x-101)(2x+3)}$.

◈ Note:

⇛ We can't find the value of x, but we can simplify this expression.

This is how we'll simplify it:

◆ Multiply 4x times 2x and 3 first:

$\large\pmb{4x\times2x=8x^2}$

$\large\pmb{4x\times3=12x}$

Add the terms:

$\large\pmb{8x^2+12x}$

Now, do the same thing with -101 - multiply that times 2x and 3:

$\large\pmb{-101\times2x=-202x}$

$\large\pmb{-101\times3=-303}$

Add the terms:

$\large\pmb{-202x-303}$

Put all 4 of the terms together:

$\large\pmb{8x^2+12x-202x-303}$

Combine like terms (12x and -202x):

$\large\pmb{8x^2-190x-303}$

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer 2

(4x−101)(2x+3)

Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.

8x²+12x−202x−303

Combine 12x and −202x.

8x²−190x−303