Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 515: 24

Answer

(w+12)(w-12)

Work Step by Step

We use the formula for the difference of squares to apply to this question. The difference of squares formula is: $(a-b) (a+b) = a^{2} - b^{2}$ = $(w)^{2}$ - 144 *** Take the square root of 144 which is 12. Becuase 12 $\times$ 12= 144 = $(w)^{2} - 12^{2}$ In the given formula let w represents a and 144 represents b. $(w)^{2} - 12^{2}$ = (w+12)(w-12)
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