Explanation Given information: A rational expression, 2 t 2 − 98 4 t 2 − 4 ⋅ 8 t + 8 16 t − 112 Formula used: Cancellation of the terms equal to 1, a a = 1 Multiplication of two rational terms, A B ⋅ C D = A C B D The identity of Differences of squares of numbers, a 2 − b 2 = ( a + b ) ( a − b ) Calculation: Consider the rational expression as below. 2 t 2 − 98 4 t 2 − 4 ⋅ 8 t + 8 16 t − 112 Use the rule of multiplication of two rational terms A B ⋅ C D = A C B D . Thus, 2 t 2 − 98 4 t 2 − 4 ⋅ 8 t + 8 16 t − 112 = ( 2 t 2 − 98 ) ( 8 t + 8 ) ( 4 t 2 − 4 ) ( 16 t − 112 ) Factor out the common term and use identity property to factor the terms like a 2 − b 2 = ( a + b ) ( a − b ) . Thus, 2 t 2 − 98 4 t 2 − 4 ⋅ 8 t + 8 16 t − 112 = ( 2 t 2 − 98 ) ( 8 t + 8 ) ( 4 t 2 − 4 ) ( 16 t − 112 ) = 2 ( t 2 − 49 ) ⋅ 8 ( t + 1 ) 4 ( t 2 − 4 ) ⋅ 16 ( t − 7

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.1, Problem 72ES

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To calculate: The simplified form of the expression 2t2−984t2−4⋅8t+816t−112 after multiplication.

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Chapter 12.1, Problem 71ES

Chapter 12.1, Problem 73ES

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Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The simplified form of the expression 2 t 2 − 98 4 t 2 − 4 ⋅ 8 t + 8 16 t − 112 after multiplication.

Solution Summary: The author explains how to calculate the simplified form of the expression 2t2.

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To calculate: The simplified form of the expression 2t2−984t2−4⋅8t+816t−112 after multiplication.

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Chapter 12 Solutions