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Popular >

expand x(2-x)^2

Solution

expand

x (2 - x)^{2}

Solution

4 x - 4 x^{2} + x^{3}

Solution steps

x (2 - x)^{2}

Expand

(2 - x)^{2} : 4 - 4 x + x^{2}

= x (4 - 4 x + x^{2})

Apply the distributive law:

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

x (4 - 4 x + x^{2}) = x \cdot 4 + x (- 4 x) + x x^{2}

= x \cdot 4 + x (- 4 x) + x x^{2}

Simplify

x \cdot 4 + x (- 4 x) + x x^{2} : 4 x - 4 x^{2} + x^{3}

= 4 x - 4 x^{2} + x^{3}

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Frequently Asked Questions (FAQ)

What is expand x(2-x)^2 ?
The solution to expand x(2-x)^2 is 4x-4x^2+x^3