Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Mixed Review: 54

Answer

(7p+2)(7p-2)

Work Step by Step

We use the formula for the difference of squares to apply to this question. The difference of squares formula is: $(a-b) (a+b) = a^{2} - b^{2}$ = $49p^{2}$ - 4 *** Take the square root of $49p^{2}$ which is 7p. Becuase 7p × 7p= $49p^{2}$ *** Take the square root of 4 which is 2. Becuase 2 × 2= 4 = $(7p)^{2}−2^{2}$ In the given formula let 7p represents a and 2 represents b. $(7p)^{2}−2^{2}$ = (7p+2)(7p-2)
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