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Popular >

expand x(x-1)^2

Solution

expand

x (x - 1)^{2}

Solution

x^{3} - 2 x^{2} + x

Solution steps

x (x - 1)^{2}

Expand

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

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

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

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

Simplify

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

= x^{3} - 2 x^{2} + x

Popular Examples

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\frac{12 p ^{2}}{4 p ^{6}}

Frequently Asked Questions (FAQ)

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