What is (x^2-2x)^2+3(x^2-2x)-18 ?

The solution to (x^2-2x)^2+3(x^2-2x)-18 is x^4-4x^3+7x^2-6x-18

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simplify (x^2-2x)^2+3(x^2-2x)-18

simplify

(x^{2} - 2 x)^{2} + 3 (x^{2} - 2 x) - 18

x^{4} - 4 x^{3} + 7 x^{2} - 6 x - 18

Solution steps

(x^{2} - 2 x)^{2} + 3 (x^{2} - 2 x) - 18

Expand

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

= x^{4} - 4 x^{3} + 4 x^{2} + 3 (x^{2} - 2 x) - 18

Expand

3 (x^{2} - 2 x) : 3 x^{2} - 6 x

= x^{4} - 4 x^{3} + 4 x^{2} + 3 x^{2} - 6 x - 18

Add similar elements:

4 x^{2} + 3 x^{2} = 7 x^{2}

= x^{4} - 4 x^{3} + 7 x^{2} - 6 x - 18

9 + 220

\frac{3}{( - \frac{1}{x} ) ^{2} - 2}

- 4 f - 6 (6 f - 10)

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

16.5 - 2 (5.1 x + 9)

What is (x^2-2x)^2+3(x^2-2x)-18 ?
The solution to (x^2-2x)^2+3(x^2-2x)-18 is x^4-4x^3+7x^2-6x-18