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Popular >

factor a^2x-ax^{a-1}

Solution

factor

a^{2} x - a x^{a - 1}

Solution

\frac{a ( a x ^{2} - x ^{a} )}{x}

Solution steps

a^{2} x - a x^{a - 1}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= a^{2} x - a x^{- 1} x^{a}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

a^{2} = aa, x = x^{- 1} x^{2}

= aa x^{- 1} x^{2} - a (x^{- 1} x^{2})^{a} (x^{- 1} x^{2})^{- 1}

Factor out common term

x^{- 1} a

= x^{- 1} a (a x^{2} - x^{a})

Refine

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

Popular Examples

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d (x \cdot \frac{d x}{d y})

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1 x^{2} - 2 x - 1

Frequently Asked Questions (FAQ)

What is factor a^2x-ax^{a-1} ?
The solution to factor a^2x-ax^{a-1} is (a(ax^2-x^a))/x