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Popular >

factor x-x^{b-1}+x^2

Solution

factor

x - x^{b - 1} + x^{2}

Solution

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

Solution steps

x - x^{b - 1} + x^{2}

Apply exponent rule:

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

= x - x^{- 1} x^{b} + x^{2}

Apply exponent rule:

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

x = x^{- 1} x^{2}, x^{2} = x^{- 1} x^{3}

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

Factor out common term

x^{- 1}

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

Refine

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

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Frequently Asked Questions (FAQ)

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