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**Unformatted text preview: **Supplementary Course Module C: Rational Expressions Assignment 2 & Arithmetic of Rational Expressions Multiplication/Division of Rational Expressions & When applying arithmetic operations to rational expressions, we &rst try factoring to simplify the expressions, then follow the same procedures as when working with fractions. & recall a b c d = ac bd and a b c d = a b d c = ad bc examples: x + 2 x 1 3 x 4 + x = ( x + 2) (3 x ) ( x 1) (4 + x ) x 2 2 x 8 x 2 1 2 x 2 x 3 x 2 8 x + 16 = ( x 4) ( x + 2) ( x 1) ( x + 1) (2 x 3) ( x + 1) ( x 4) ( x 4) = ( x + 2) ( x 1) (2 x 3) ( x 4) ; x 6 = 1 ; 4 = ( x + 2) (2 x 3) ( x 1) ( x 4) ; x 6 = 1 ; 4 3 x 2 + 2 x 8 2 x 2 x 6 x 2 4 2 x 2 + 3 x = ( x + 2) (3 x 4) (2 x + 3) ( x 2) ( x 2) ( x + 2) x (2 x + 3) = ( x + 2) (3 x 4) (2 x + 3) ( x 2) x (2 x + 3) ( x 2) ( x + 2) = (3 x 4) ( x 2) x ( x 2) , x 6 = 2 ; 3...

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