CPM Homework Help : PC3 Problem 3-56

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3-56.

Write each rational expression as a single simplified fraction.

$\frac{3}{x+3}\cdot\frac{5}{x-5}$
Hint (a):
Multiply numerator with numerator and denominator with denominator.
Then simply if possible.

$\frac{x+y}{x}-\frac{x-y}{y}$
Hint (b):
Multiply the first fraction by $\frac{y}{y}$ and the second fraction by $\frac{x}{x}$ , giving you a common denominator of $xy$ .

$\left( \frac { x } { y } - \frac { y } { x } \right) \left( \large\frac { x ^ { 2 } y ^ { 2 } } { x ^ { 2 } y - x y ^ { 2 } } \right)$
Hint (c):
Simplify the expression in the first set of parentheses by creating a common denominator. Then multiply.

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