Question

Simplification of $\frac{2m+6}{4}\times \frac{6m-36}{3m+9}$ gives

• A. $\frac{12m^2-216}{12m+36}$
• B. $\frac{8m-30}{3m+13}$
• C. $\frac{m-6}{4}$
• D. $m-6$

Answer 1

Answer: (D)

$m-6$

Simplification of $\frac{2m+6}{4}\times \frac{6m-36}{3m+9}$

$=$ $\frac{2(m+3)}{4}\times \frac{6(m-6)}{3(m+3)}$

$=$ $\frac{2(m+3)\times 6(m-6)}{4\times 3(m+3)}$

$=$ $\frac{12(m+3)(m-6)}{12(m+3)}$

$=$ $m-6$