Question

Simplify the expression.
2
—
3 (-9m+12)

Answer 1

Answer: 2/(-27m+36)

Explanation:

3(-9m+12)

distributive property means you multiply 3 to all factors inside of the paranthesis.

3 x (-9m) = -27m

3 x 12 = 36

therefore

-27m+36

then it is 2/(-27m+36) and cannot be simplified futher

Answer 2

Evaluate

8-6m

Explanation:

2/3 (-9m+12)

Use the distributive property to multiply 2/3≈0.666666667 by −9m+12.

2/3(-9)m+2/3x12

Express 3/2(−9)≈−6 as a single fraction.

2(-9)/3m+2/3x12

Multiply 2 and −9 to get −18.

-18/3m+2/3x12

Divide −18 by 3 to get −6.

-6m+2/3x12

Express 3/2×12≈8 as a single fraction.

-6m+2x12/3

Multiply 2 and 12 to get 24.

-6m+24/3

Divide 24 by 3 to get 8.

−6m+8