Question

Simplify the expression.

Answer 1

Answer:

Simplify the expression: $\frac{\frac{b^2+5b+6}{3bc}}{\frac{b^2-9}{6bc}}$

The top expression given in the above fraction is Numerator and the bottom expression is called Denominator.

Now, multiply the numerator and denominator by $6bc$ ;

$\frac{6bc \cdot(\frac{b^2+5b+6}{3bc})}{6bc \cdot (\frac{b^2-9}{6bc})}$

Simplify:

$\frac{b^2+5b+6}{b^2-9}}$

Now, Factor the numerator $b^2+5b+6 = (b+3)(b+2)$ and denominator $b^2-9 = (b-3)(b+3)$;

$\frac{(b+3)(b+2)}{(b+3)(b-3)}}$

Now, cancel the common factor (b+3) we get;

$\frac{(b+3)(b+2)}{(b+3)(b-3)}} = \frac{b+2}{b-3}$

Therefore, the simplify expression of $\frac{\frac{b^2+5b+6}{3bc}}{\frac{b^2-9}{6bc}}$ is, $\frac{b+2}{b-3}$

Answer 2

Answer:

b X + 2 X

6 b c - 18 c

Step-by-step explanation: