Question

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

Answer 1

Answer:

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Step-by-step 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:

$2(x - 4) + x = 2 \times x - 2 \times 4 + x$

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

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

For Part D, we have:

$-3-7(3-4x)+8x = - 3 - 7 \times 3 - 7 \times - 4x + 8x$

We simplify to get:

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

Simplify further to get:

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