What is (x^2-2x)^2-2(x^2-2x) ?

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

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simplify (x^2-2x)^2-2(x^2-2x)

simplify

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

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

Solution steps

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

Expand

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

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

Expand

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

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

Add similar elements:

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

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

\frac{1}{6} + 4

a^{2} \cdot 2 a

(3 x + 1) (2 x + 3)

\frac{6 - 2 i}{4 + i}

\frac{3}{2 7}

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