College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5: 126

Answer

Let us consider difference of two squares $a^{2}$ - $b^{2}$. Let $a^{2}$ - $b^{2}$ = 0. if $a^{2}$ = $b^{2}$ then a = b or -b and b = a or -a. So $a^{2}$ - $b^{2}$ = (a + b) (a - b)

Work Step by Step

For example let us take polynomial $a^{2}$ - $b^{2}$. Let $a^{2}$ - $b^{2}$ = 0. if $a^{2}$ = $b^{2}$ then a = b or -b and b = a or -a So $a^{2}$ - $b^{2}$ = (a + b) (a - b) Example- 25$x^{2}$ - 81 = $5^{2}$$x^{2}$ - $9^{2}$ = (5x + 9)(5x - 9)
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