College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.3 - Polynomials - R.3 Exercises: 48

Answer

6$m^{5}$ + $\frac{1}{4}$$m^{4}$ - $\frac{1}{8}$$m^{3}$

Work Step by Step

1. FOIL (excluding $m^{3}$) (2m - 1/4)(3m + 1/2) = 2m(3m) + 2m(1/2) - (1/4)(3m) - (1/4)(1/2) 2. Multiply. 6$m^{2}$ + m - $\frac{3}{4}$m - $\frac{1}{8}$ 3. Add like terms. 6$m^{2}$ + $\frac{1}{4}$m - $\frac{1}{8}$ 4. Multiply each term by $m^{3}$ 6$m^{5}$ + $\frac{1}{4}$$m^{4}$ - $\frac{1}{8}$$m^{3}$
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