Question

Is -2/3(12b - 6 + 9b - 18) equivalent to 2b(b + 8)? Show your work.

Answer 1

Answer:

No, they are not equivalent

Step-by-step explanation:

$\frac{-2}{3}(12b - 6 + 9b - 18) = \frac{-2}{3}(12b + 9b - 6 - 18)\\\\=\frac{-2}{3}(21b - 24)\\\\ = \frac{-2}{3}*21b -24*\frac{-2}{3}\\\\= -2*7b + 8*2\\\\= 2( -7b + 8)$

Answer 2

Answer:

This is NOT equivalent to 2b(b + 8).

Step-by-step explanation:

Start with -2/3(12b - 6 + 9b - 18).  Simplify this.  First, combine the like terms inside the set of parentheses:

(-2/3)(21b - 24)

Simplify this by applying the distributation property of multiplication:

-14b + 16

Finally, factor out 2:  2(-7b + 8)

This is NOT equivalent to 2b(b + 8).