What is expand (x^2-2x-2)(2x^2-5x+2) ?

The solution to expand (x^2-2x-2)(2x^2-5x+2) is 2x^4-9x^3+8x^2+6x-4

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expand (x^2-2x-2)(2x^2-5x+2)

expand

(x^{2} - 2 x - 2) (2 x^{2} - 5 x + 2)

2 x^{4} - 9 x^{3} + 8 x^{2} + 6 x - 4

Solution steps

(x^{2} - 2 x - 2) (2 x^{2} - 5 x + 2)

Distribute parentheses

= x^{2} \cdot 2 x^{2} + x^{2} (- 5 x) + x^{2} \cdot 2 - 2 x \cdot 2 x^{2} - 2 x (- 5 x) - 2 x \cdot 2 - 2 \cdot 2 x^{2} - 2 (- 5 x) - 2 \cdot 2

Simplify

x^{2} \cdot 2 x^{2} + x^{2} (- 5 x) + x^{2} \cdot 2 - 2 x \cdot 2 x^{2} - 2 x (- 5 x) - 2 x \cdot 2 - 2 \cdot 2 x^{2} - 2 (- 5 x) - 2 \cdot 2 : 2 x^{4} - 9 x^{3} + 8 x^{2} + 6 x - 4

= 2 x^{4} - 9 x^{3} + 8 x^{2} + 6 x - 4

\frac{74}{100}

\frac{10}{28}

\frac{( a - \frac{3}{a} )}{( a + \frac{3}{a} )}

(y - 5 x)^{2}

a^{2} + 6 ab + 9 b^{2}

What is expand (x^2-2x-2)(2x^2-5x+2) ?
The solution to expand (x^2-2x-2)(2x^2-5x+2) is 2x^4-9x^3+8x^2+6x-4