Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 10 Counting Methods and Probability - 10.5 Find Probabilities of Independent and Dependent Events - 10.5 - Mixed Review - Page 723: 51

Answer

$$x^3-4x^2+2x-8$$

Work Step by Step

Recall, like terms must (1) be raised to the same power and (2) consist of the same variable (i.e. x and y are not like terms). It is also important to note that numbers are all like terms with each other when not multiplied by anything. Thus, combining like terms after multiplying, we find: $$x^2x+x^2\left(-4\right)+2x+2\left(-4\right)\\ x^2x-4x^2+2x-2\cdot \:4\\ x^3-4x^2+2x-8$$
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