Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - Chapter 6 Test - Page 405: 1

Answer

\[-44\]

Work Step by Step

Put \[x=-2\]in the given expression and simplify it as follows: \[\begin{align} & {{x}^{3}}-4{{\left( x-1 \right)}^{2}}={{\left( -2 \right)}^{3}}-4{{\left( -2-1 \right)}^{2}} \\ & =-8-4{{\left( -3 \right)}^{2}} \\ & =-8-36 \\ & =-44 \end{align}\] Hence, the expression \[{{x}^{3}}-4{{\left( x-1 \right)}^{2}}\] evaluated at \[x=-2\]gives.
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