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: 29

Answer

(m+15)(m-15)

Work Step by Step

We use the formula for the difference of squares to apply to this question. The difference of squares formula is: $(a-b) (a+b) = a^{2} - b^{2}$ = $(m)^{2}$ - 225 *** Take the square root of 225 which is 15. Becuase 15 × 15= 225 = $(m)^{2}−15^{2}$ In the given formula let m represents a and 15 represents b. $(m)^{2}−15^{2}$ = (m+15)(m-15)
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