Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.1 Algebraic Expressions and Formulas - Exercise Set 6.1: 64

Answer

7$x^{2}$ + 15

Work Step by Step

14$x^{2}$ + 5 - [7($x^{2}$ - 2) + 4] Step 1: Drop parentheses and multiply 7 with each term and change the sign of each term in parentheses: 7$x^{2}$ - 14 Step 2 Simplify inside brackets: -14+4 = -10 14$x^{2}$ + 5- [7$x^{2}$ - 10] Step 3 drop brackets and change the sign of each term in brackets 14$x^{2}$ + 5- 7$x^{2}$ + 10 Step 4: Group like terms( 14$x^{2}$ - 7$x^{2}$ ) +(5 + 10) Step 6: Combine the like terms ( 14$x^{2}$ - 7$x^{2}$ ) = 7$x^{2}$ So, final solution 7$x^{2}$ + 15
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