Question B.5.3: Multiplying rational expressions Find each product. a. 2a - ...

a.  \frac{2 a-2 b}{6} \cdot \frac{9 a}{a^{2}-b^{2}}=\frac{2(a-b)}{2 \cdot 3} \cdot \frac{3 \cdot 3 a}{(a-b)(a+b)}          Factor completely

=\frac{3 a}{a+b}                 Divide out common factors.

b.  \frac{x-1}{x^{2}+4 x+4} \cdot \frac{x+2}{x^{2}+2 x-3}=\frac{x-1}{(x+2)^{2}} \cdot \frac{x+2}{(x+3)(x-1)}           Factor completely

=\frac{1}{x^{2}+5 x+6}                 Divide out common factors.