(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
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the value of x in [tex]\mathrm{(4x-101)(2x+3)}[/tex].
◈ 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:
[tex]\large\pmb{4x\times2x=8x^2}[/tex]
[tex]\large\pmb{4x\times3=12x}[/tex]
Add the terms:
[tex]\large\pmb{8x^2+12x}[/tex]
Now, do the same thing with -101 - multiply that times 2x and 3:
[tex]\large\pmb{-101\times2x=-202x}[/tex]
[tex]\large\pmb{-101\times3=-303}[/tex]
Add the terms:
[tex]\large\pmb{-202x-303}[/tex]
Put all 4 of the terms together:
[tex]\large\pmb{8x^2+12x-202x-303}[/tex]
Combine like terms (12x and -202x):
[tex]\large\pmb{8x^2-190x-303}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
