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Popular >

expand (1/(1-x))^3

Solution

expand

(\frac{1}{1 - x})^{3}

Solution

\frac{1}{1 - 3 x + 3 x ^{2} - x ^{3}}

Solution steps

(\frac{1}{1 - x})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{3}}{( 1 - x ) ^{3}}

Apply rule

1^{a} = 1

1^{3} = 1

= \frac{1}{( 1 - x ) ^{3}}

(1 - x)^{3} = 1 - 3 x + 3 x^{2} - x^{3}

= \frac{1}{1 - 3 x + 3 x ^{2} - x ^{3}}

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Frequently Asked Questions (FAQ)

What is expand (1/(1-x))^3 ?
The solution to expand (1/(1-x))^3 is 1/(1-3x+3x^2-x^3)