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Popular >

expand (1-x/3)^{-2}

Solution

expand

(1 - \frac{x}{3})^{- 2}

Solution

\frac{9}{( - x + 3 ) ^{2}}

Solution steps

(1 - \frac{x}{3})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( 1 - \frac{x}{3} ) ^{2}}

(1 - \frac{x}{3})^{2} = \frac{( 3 - x ) ^{2}}{3 ^{2}}

= \frac{1}{\frac{( 3 - x ) ^{2}}{3 ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{3 ^{2}}{( 3 - x ) ^{2}}

3^{2} = 9

= \frac{9}{( 3 - x ) ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (1-x/3)^{-2} ?
The solution to expand (1-x/3)^{-2} is 9/((-x+3)^2)