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Popular >

expand x(x-2)^2

Solution

expand

x (x - 2)^{2}

Solution

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

Solution steps

x (x - 2)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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