Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - Chapter 5 Review Problem Set: 25

Answer

$14x^2-x-3$

Work Step by Step

RECALL For any real numbers a, b, and c: $a(b+c)=ab + ac \\AND \\a(b-c) =ac-bc$ Use the distributive property (which is shown above) to obtain: $=2x(7x+3) - 1(7x+3) \\=2x(7x)+2x(3) -1(7x) -1(3) \\=14x^2+6x-7x-3 \\=14x^2+(6-7)x-3 \\=14x^2+(-1)x-3 \\=14x^2-x-3$
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