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Popular >

expand (x^2-2x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

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

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

Popular Examples

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simplify (15)/(4x)+5/(4x)simplify

\frac{15}{4 x} + \frac{5}{4 x}

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(x - 9) (x + 2)

\frac{81}{2}

Frequently Asked Questions (FAQ)

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