What is factor x(x-1)^2-(x-1)^2 ?

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

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factor x(x-1)^2-(x-1)^2

factor

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

(x - 1)^{3}

Solution steps

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

Factor out common term

(x - 1)^{2} : (x - 1)^{2} (x - 1)

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

= (x - 1)^{3}

x - \frac{3}{2} x

2 \times 32

\frac{- 72}{- 6}

\frac{9 + 2}{4}

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

What is factor x(x-1)^2-(x-1)^2 ?
The solution to factor x(x-1)^2-(x-1)^2 is (x-1)^3