Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises: 6

Answer

(A + B)(A - B) 25 - $x^2$

Work Step by Step

The Special Product Formula for the product of a sum and a difference of terms is: (A + B)(A - B) = $A^2$ - $B^2$ The Special Factor Formula is simply the reverse of this, where: $A^2$ - $B^2$ = (A + B)(A - B) Therefore if A = 4$x^2$ and B = 25, then 4$x^2$ - 25 = (2x + 5)(2x - 5), as 2x is the square root of $4x^2$ and 5 is the square root of 25
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