Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Mid-Chapter Check Point - Page 71: 19

Answer

$16y^{2}-9x^{2}-12x-4$

Work Step by Step

This is a difference of squares, $(a+b)(a-b)=a^{2}-b^{2}$ ... $=(4y)^{2}-(3x+2)^{2}$ ... first term: apply $(ab)^{n}=a^{n}b^{n}$ ... expand the square of the sum with $(a+b)^{2}=a^{2}+2ab+b^{2}$ $=16y^{2}-(9x^{2}+12x+4)$ ... distribute the (-1) over the parentheses =$16y^{2}-9x^{2}-12x-4$ ... (no like terms)
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