Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.1 - The Greatest Common Factor - Practice: 3

Answer

a) $3x^{2}$ a) $4y$ a) $ab^{2}$

Work Step by Step

a) The GCF is $3\times x^{2} = 3x^{2} $ $6x^{2} = 2\times 3\times x^{2}$ $9x^{4} = 3\times 3\times x^{4}$ $-12x^{5} = -1\times 2\times 2\times 3\times x^{5}$ b) The GCF is $2\times 2\times y = 4y$ $-16y = -2\times 2\times 2\times 2\times y$ $-20y^{6} = -2\times 2\times 5\times y^{6}$ $40y^{4} = 2\times 2\times 2\times 5\times y^{4}$ c) The GCF of $a^{5}, a, a^{3}$ is $a$. The GCF of $b^{4}, b^{3}, b^{2}$ is $b^{2}$. Hence the GCF of $a^{5}b^{4}, ab^{3}, a^{3}b^{2}$ is $ab^{2}$.
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