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Kitty [74]
3 years ago
9

Perform the indicated operation. 3m-6/4m+12*m^2+5m+6/m^2-4

Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

\frac{3}{4}

Step-by-step explanation:

The given expression is:

\frac{3m-6}{4m+12} \cdot \frac{m^2+5m+6}{m^2-4}

We factor to get:

\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+2)(m+3)}{(m-2)(m+2)}

Cancel out the common factors to get:

\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+3)}{(m-2)}

We cancel further to get:

\frac{3(m-2)}{4(m+3)} \cdot\frac{(m+3)}{(m-2)}=\frac{3}{4}

The correct chice is B.

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