# Simplify expressions by dividing out monomials

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Simplify expressions by dividing out monomials
EXAMPLE 2 Simplify the rational expression, if possible. State the excluded values. a. r 2r SOLUTION a. r 2r = Divide out common factor. = 1 2 Simplify. ANSWER The excluded value is 0.

Simplify expressions by dividing out monomials
EXAMPLE 2 Simplify the rational expression, if possible. State the excluded values. b. 5x 5(x + 2) SOLUTION b. 5x 5(x + 2) = 5 x 5 (x + 2) Divide out common factor. = x (x + 2) Simplify. ANSWER The excluded value is – 2.

Simplify expressions by dividing out monomials
EXAMPLE 2 Simplify the rational expression, if possible. State the excluded values. c. 6m3 – 12m3 18m2 SOLUTION c. 18m2 6m3 – 12m3 = 6m2 (m – 2) 6 3 m2 Factor numerator and denominator. = 6m2 (m – 2) 6 3 m2 Divide out common factors. = m – 2 3 Simplify. ANSWER The excluded value is 0.

Simplify expressions by dividing out monomials
EXAMPLE 2 Simplify the rational expression, if possible. State the excluded values. d. y 7 – y SOLUTION d. The expression y 7 – y is already in simplest form. ANSWER The excluded value is 7.

GUIDED PRACTICE for Example 2 4 a3 22a6 2 11a3 5. ANSWER The excluded value is 0. 6. 2c c + 5 2c c + 5 The excluded value is – 5. ANSWER 2s 3 7. 2s2 + 8s 3s +12 The excluded value is – 4. ANSWER 8. 8x 8x x2 1 x2 + 2x The excluded values are 0 and – 2. ANSWER