College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4: 85

Answer

$-9x^2+3x+9$

Work Step by Step

$$(5x-7)(3x-2)-(4x-5)(6x-1)$$ Use the FOIL (First times first, Outer times outer, Inner times inner, and Last times last) method to multiply each set of binomials: $$=[(5x\times 3x)+(5x\times (-2))+(-7\times 3x)+_(-7\times (-2))]-[(4x\times 6x)+(4x\times (-1))+(-5\times 6x)+(-5\times (-1))]$$ $$=(15x^2-10x-21x+14)-(24x^2-4x-30x-5)$$ $$=(15x^2-31x+14)-(24x^2-34x-5)$$ $$=15x^2-31x+14-24x^2+34x-5$$ $$=-9x^2+3x+9$$
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