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

Respuesta :

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) [tex]2x+10x=12x[/tex]

B) [tex]-4(3x-10)+5(2-6x)=-12x+40+10-30x=-42x+50[/tex]

Factoring the result with [tex]2[/tex] as a common factor:

[tex]-42x+50=2(-21x+25)=2(25-21x)[/tex]

C) [tex]2(x-4)+x=2x-8+x=3x-8[/tex]

D) [tex]-3-7(3-4x)+8x=-3-21+28x+8x=36x-24[/tex]

Factoring the result with [tex]12[/tex] as a common factor:

[tex]36x-24=12(3x-2)[/tex]