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: 7

Answer

$(A + B)^2$ $(x + 5)^2$

Work Step by Step

The Special Factoring Formula for a "perfect square" is the opposite of the Special Product Formula for a "perfect square", which is: $(A + B)^2$ = $A^2$ + 2AB + $B^2$ therefore, the Special Factoring Formula is: $A^2$ + 2AB + $B^2$ = $(A + B)^2$ For the trinomial $x^2$ + 10x + 25, $A^2$ = $x^2$ and $B^2$ = 25, so A = x and B = 5. Therefore, this trinomial factors as: $(x + 5)^2$
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