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

The solution to expand (x^4-2x^2+2)(x^2-2x+3) is x^6-2x^5+x^4+4x^3-4x^2-4x+6

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expand (x^4-2x^2+2)(x^2-2x+3)

expand

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

x^{6} - 2 x^{5} + x^{4} + 4 x^{3} - 4 x^{2} - 4 x + 6

Solution steps

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

Distribute parentheses

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

Simplify

x^{4} x^{2} + x^{4} (- 2 x) + x^{4} \cdot 3 - 2 x^{2} x^{2} - 2 x^{2} (- 2 x) - 2 x^{2} \cdot 3 + 2 x^{2} + 2 (- 2 x) + 2 \cdot 3 : x^{6} - 2 x^{5} + x^{4} + 4 x^{3} - 4 x^{2} - 4 x + 6

= x^{6} - 2 x^{5} + x^{4} + 4 x^{3} - 4 x^{2} - 4 x + 6

6 \div \frac{1}{4}

(4 a x - 1)^{2}

- 8

(x - 8)^{3}

\frac{1}{1 - cos ( x )} + \frac{1}{1 + cos ( x )}

What is expand (x^4-2x^2+2)(x^2-2x+3) ?
The solution to expand (x^4-2x^2+2)(x^2-2x+3) is x^6-2x^5+x^4+4x^3-4x^2-4x+6