20 Simplify each of the following.
(a) $\frac{4 x^{2}}{18(x-3)^{2}} \times \frac{15(x-3)}{12 x^{4}}$
(b) $\frac{(x+6)}{(x+2)^{2}(x+3)} \div \frac{4}{(x+2)(x+3)}$

Answer

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Answer

$\boxed{\text{Final Answer:}}$ (a) $\boxed{\frac{5}{18x^2(x-3)}}$ (b) $\boxed{\frac{x+6}{4(x+2)}}$

Steps

Step 1 ：Simplify expression (a): $\frac{4 x^{2}}{18(x-3)^{2}} \times \frac{15(x-3)}{12 x^{4}}$ to $\frac{5}{18x^2(x-3)}$

Step 2 ：Simplify expression (b): $\frac{(x+6)}{(x+2)^{2}(x+3)} \div \frac{4}{(x+2)(x+3)}$ to $\frac{x+6}{4(x+2)}$

Step 3 ：$\boxed{\text{Final Answer:}}$ (a) $\boxed{\frac{5}{18x^2(x-3)}}$ (b) $\boxed{\frac{x+6}{4(x+2)}}$