Explanation Given Information: The provided expression is 2 x + 1 + 3 x − 2 x 2 − 2 x − 3 . Formula used: The operation with fraction: a b + c d = a d + c b b d x y y z = x z Take out the common factor a x + a y = a ( x + y ) Multiplication with variables: a x a y = a x + y Calculation: Consider the provided expression, 2 x + 1 + 3 x − 2 x 2 − 2 x − 3 Now use the property a b + c d = a d + c b b d and rewrite the above expression as: 2 x + 1 + 3 x − 2 x 2 − 2 x − 3 = 2 ( x 2 − 2 x − 3 ) + ( x + 1 ) ( 3 x − 2 ) ( x + 1 ) ( x 2 − 2 x − 3 ) = 2 ⋅ x 2 − 2 ⋅ 2 x − 2 ⋅ 3 + x ⋅ 3 x − x ⋅ 2 + 3 x − 2 ( x + 1 ) ( x 2 − 2 x − 3 ) Now use property a x a y = a x + y and simplify further, 2 x + 1 + 3 x − 2 x 2 − 2 x − 3 = 2 ⋅ x 2 − 2 ⋅ 2 x − 2 ⋅ 3 + x ⋅ 3 x − x ⋅ 2 + 3 x − 2 ( x + 1 ) ( x 2 − 2 x − 3 ) = 2 x 2 − 4 x − 6 + 3 x 2 − 2 x + 3 x − 2 ( x + 1 ) ( x 2 −

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Author: Larson

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Chapter A5, Problem 14E

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To calculate: The simplified form of rational expression 2x+1+3x−2x2−2x−3.

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Chapter A5, Problem 13E

Chapter A5, Problem 15E

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CALCULUS: APPLIED APPROACH LOW COST MA

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The simplified form of rational expression 2 x + 1 + 3 x − 2 x 2 − 2 x − 3 .

Solution Summary: The author explains how to calculate the simplified form of the given expression, underset_5x-8.

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To calculate: The simplified form of rational expression 2x+1+3x−2x2−2x−3.

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Chapter A5 Solutions