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C2notes - Supplementary Course Module C Rational...

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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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C2notes - Supplementary Course Module C Rational...

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