Explanation Given: The expression 4 m 3 m 2 + 7 m − 6 − m 3 m 2 − 14 m + 8 . Explanation: Consider the following expression: 4 m 3 m 2 + 7 m − 6 − m 3 m 2 − 14 m + 8 Factorize the denominators as follows: The factorization of equation 3 m 2 + 7 m − 6 will be as follows: The factors of 3 m 2 are m and 3 m and the factors of − 6 are –2 and 3, –3 and 2, –6 and 1,–1 and 6. Use first set of factors for both the terms and check whether the multiplication holds. ( 3 m − 2 ) ( m + 3 ) = 3 m ⋅ m + 3 m ⋅ 3 − 2 ⋅ m − 2 ⋅ 3 = 3 m 2 + 9 m − 2 m − 6 = 3 m 2 + 7 m − 6 So, this factorization holds. Similarly, for equation 3 m 2 − 14 m + 8 , factorization will be as follows: The factors of 3 m 2 are m and 3 m and the factors of 8 are 4 and 2, 8 and 1. Use first set of factors for both the terms and check whether the multiplication holds. ( 3 m − 2 ) ( m − 4 ) = 3 m ⋅ m − 3 m ⋅ 4 − 2 ⋅ m + 4 ⋅ 2 = 3 m 2 − 12 m − 2 m + 12 = 3 m 2 − 14 m + 12 So, this factorization holds. 4 m 3 m 2 + 7 m − 6 − m 3 m 2 − 14 m + 8 = 4 m ( 3 m − 2 ) ( m + 3 ) − m ( 3 m − 2 ) ( m − 4 ) Convert both the fractions to like fractions with the denominator ( 3 m − 2 ) ( m + 3 ) ( m − 4 ) as follows: 4 m ( 3 m − 2 ) ( m +

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

11th Edition

ISBN: 9780133886818

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter R.3, Problem 36E

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The simplified form of the expression 4m3m2+7m−6−m3m2−14m+8.

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Chapter R.3, Problem 35E

Chapter R.3, Problem 37E

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The simplified form of the expression 4 m 3 m 2 + 7 m − 6 − m 3 m 2 − 14 m + 8 .

Solution Summary: The author explains how to determine the simplified form of the expression 4m3m

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The simplified form of the expression 4m3m2+7m−6−m3m2−14m+8.

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