Chapter 12: Q. 218E (page 1213)

In the following exercises, expand each binomial.
$(x - 2)^{4}$

Short Answer

Expert verified

Expansion is $x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16$

Step by step solution

Given Information

Expand $(x - 2)^{4}$

Solution

We have

$(x - 2)^{4} = (\begin{matrix} 4 \\ 0 \end{matrix}) x^{4 - 0} {(- 2)}^{4 - 4} + (\begin{matrix} 4 \\ 1 \end{matrix}) x^{4 - 1} {(- 2)}^{4 - 3} + (\begin{matrix} 4 \\ 2 \end{matrix}) x^{4 - 2} {(- 2)}^{4 - 2} + (\begin{matrix} 4 \\ 3 \end{matrix}) x^{4 - 3} {(- 2)}^{4 - 1} + (\begin{matrix} 4 \\ 4 \end{matrix}) x^{4 - 4} {(- 2)}^{4 - 0} = x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16$

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In the following exercises, expand each binomial.
$(x - 2)^{4}$

Short Answer

Step by step solution

Given Information

Solution

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In the following exercises, expand each binomial.(x-2)4

Short Answer

Step by step solution

Given Information

Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercises, expand each binomial.
$(x - 2)^{4}$