## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Mixed Review - Page 521: 54

(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)

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.