Question

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

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:

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