Question

Write an equivalent expression using distributive property and simplify for each question

A. 2x+10x
B. -4(3x-10)+5(2-6x)
C. 2(x-4)+x
D. -3-7(3-4x)+8x

Answer 1

Answers:

Here we have to solve each expression applying the distributive property (when necessary) and taking into account the rules related to algebraic addition:

A)
`2x+10x=12x`

B)
`-4(3x-10)+5(2-6x)=-12x+40+10-30x=-42x+50`

Factoring the result with
`2` as a common factor:

`-42x+50=2(-21x+25)=2(25-21x)`

C)
`2(x-4)+x=2x-8+x=3x-8`

D)
`-3-7(3-4x)+8x=-3-21+28x+8x=36x-24`

Factoring the result with
`12` as a common factor:

`36x-24=12(3x-2)`