36.5k views
5 votes
Please help no one is helping me Extra points if helping me correctly

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

User Hawk
by
6.9k points

1 Answer

5 votes

Answer:

The simplified equivalent expressions for given expression as below:

A) 2x+10x=12x

B) -4(3x-10)+5(2-6x)=-42x+50

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

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

Explanation:

A) Given expression is 2x+10x

To simplify the expression using distributive property a(x+y)=ax+ay

2x+10x=12x (adding the terms)

B) Given expression is -4(3x-10)+5(2-6x)

To simplify the expression using distributive property a(x+y)=ax+ay

-4(3x-10)+5(2-6x)=-12x+40+10-30x

-4(3x-10)+5(2-6x)=-42x+50 (adding the like terms)

C) Given expression is 2(x-4)+x

To simplify the expression using distributive property a(x+y)=ax+ay

2(x-4)+x=2x-8+x (adding the like terms)

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

D) Given expression is -3-7(3-4x)+8x

To simplify the expression using distributive property a(x+y)=ax+ay

-3-7(3-4x)+8x=-3-21+28x+8x (adding the like terms)

-3-7(3-4x)+8x=-24+36x

-3-7(3-4x)+8x=36x-24

User Vasanti
by
7.6k points