Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

Chapter 8 - Polynomials and Factoring - Chapter Review - Page 538: 66

Answer

$(3p-7)^{2}$

Work Step by Step

$9p^{2}-42p+49=$ ...write first and last terms as squares. $=(3p)^{2}-42p+(7)^{2}$ ...does middle term equal $2ab$? $-42p=-2\cdot(3p)\cdot(7)$ yes. $=(3p)^{2}-2\cdot(3p)\cdot(7)+(7)^{2}$ ...write as the square of a binomial. $=(3p-7)^{2}$

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