Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - Chapter Review - 8-7 Factoring Special Cases: 70

Answer

$(5x+6)(5x-6)$

Work Step by Step

We use the formula for the difference of squares to apply to this question. The difference of squares formula is: $(a-b) (a+b) = a^{2} - b^{2}$ = $25x^{2}$ - 36 *** Take the square root of $25x^{2}$ which is 5x. Becuase 5x × 5x= $25x^{2}$ *** Take the square root of 36 which is 6. Becuase 6 × 6= 36 = $(5x)^{2}−6^{2}$ In the given formula let 5x represents a and 6 represents b. $(5x)^{2}−6^{2}$= (5x+6)(5x-6)
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