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

Check explanations

Explanation:

For all real numbers a,b, and c, the distributive property states that:

`a(b + c) = ab + ac`

For Part A, we have

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

Or

`2x + 10x = 2x(1 + 5) = 2x(6) = 12x`

For Part B, we have

-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x

This simplifies to:

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

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

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

For the C part, we have:

`2(x - 4) + x = 2 * x - 2 * 4 + x`

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

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

For Part D, we have:

`-3-7(3-4x)+8x = - 3 - 7 * 3 - 7 * - 4x + 8x`

We simplify to get:

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

Simplify further to get:

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