Do Now: Multiply the expression. Simplify the result.

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Do Now: Multiply the expression. Simplify the result.

7.3: Multiplying and Dividing Rational Expressions Algebra II 7.3: Multiplying and Dividing Rational Expressions

Simplifying Rational Expressions A rational expression is in simplified form when its numerator and denominator have no common factors.

Example 1: Simplify

Simplify

Multiplying Rational Expressions We multiply rational expressions the same way we multiply numerical fractions! Multiply Numerators Multiply Denominators Simplify

Example 2

Example 3

Multiply the expression. Simplify the result.

Multiply the expression. Simplify the result.

Dividing Rational Expressions We divide rational expressions the same way we divide numerical fractions! Find the reciprocal of second expression Multiply Numerators Multiply Denominators Simplify

Example 4

Example 5

Divide the expression. Simplify the result.

Divide the expression. Simplify the result.

Divide the expression. Simplify the result.