Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.5, Problem 11MRE

To determine

To simplify the given expression.

Expert Solution & Answer

Answer to Problem 11MRE

$(t2+1)2(t−1)(t+1)$

Explanation of Solution

Given:

Expression: $4t2+48t2−8$

Formula used:

$a2−b2=(a−b)(a+b)$

Calculation:

Consider the given expression,

$⇒4t2+48t2−8$

Factoring numerator and denominator,

$⇒4(t2+1)8(t2−1)$

$⇒(t2+1)2(t2−1)$ [Reducing the fraction]

$⇒(t2+1)2(t−1)(t+1) [∵a2−b2=(a−b)(a+b)]$

Conclusion:

Therefore, after simplification, the answer is $(t2+1)2(t−1)(t+1)$ .

Chapter 5.5, Problem 10MRE

Chapter 5.5, Problem 12MRE

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

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