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Popular >

expand x(1-x)^2

Solution

expand

x (1 - x)^{2}

Solution

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

Solution steps

x (1 - x)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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