What is (x^2)/((x(x-1)^3)) ?

The solution to (x^2)/((x(x-1)^3)) is x/((x-1)^3)

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simplify (x^2)/((x(x-1)^3))

simplify

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

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

Solution steps

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

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

2 x^{5} - 18 x^{3} + 40 x

(\frac{x + 9}{4})^{3}

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

5 x^{2} - 10 x y + 5 y^{2} - 20 z^{2}

8 x^{6} + 27 y^{3}