Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.3 - Polynomials and Special Products - Exercises - Page 32: 75

Answer

$3x^2+8x$

Work Step by Step

Let A be the area of the larger rectangle. Hence, A = 2x(2x+6)=$4x^2+12x$ Let B be the area of the smaller rectangle. Hence, B = x(x+4) = $x^2+4x$ Subtract B from A. ans = A - B = $4x^2+12x$ - $x^2-4x$ = $3x^2+8x$
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