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 - Lesson Check - Page 519: 3

Answer

(p-6)(p+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: $(a-b) (a+b) = a^{2} - b^{2}$ = $(p)^{2}$ - 36 *** Take the square root of 36 which is 6. Becuase 6 × 6= 36 = $(p)^{2}−6^{2}$ In the given formula let p represents a and 6 represents b. $(p)^{2}−6^{2}$ = (p-6)(p+6)
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