What is expand (4x^2-x-1)(2x^2-2x+2) ?

The solution to expand (4x^2-x-1)(2x^2-2x+2) is 8x^4-10x^3+8x^2-2

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expand (4x^2-x-1)(2x^2-2x+2)

expand

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

8 x^{4} - 10 x^{3} + 8 x^{2} - 2

Solution steps

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

Distribute parentheses

= 4 x^{2} \cdot 2 x^{2} + 4 x^{2} (- 2 x) + 4 x^{2} \cdot 2 - x \cdot 2 x^{2} - x (- 2 x) - x \cdot 2 - 1 \cdot 2 x^{2} - 1 \cdot (- 2 x) - 1 \cdot 2

Simplify

4 x^{2} \cdot 2 x^{2} + 4 x^{2} (- 2 x) + 4 x^{2} \cdot 2 - x \cdot 2 x^{2} - x (- 2 x) - x \cdot 2 - 1 \cdot 2 x^{2} - 1 \cdot (- 2 x) - 1 \cdot 2 : 8 x^{4} - 10 x^{3} + 8 x^{2} - 2

= 8 x^{4} - 10 x^{3} + 8 x^{2} - 2

4 \cdot 11

8 x^{2} + 33 x + 4

7 y^{2} - 5 y + 9 y - 5 y^{2}

\frac{d ^{4} p ^{- 2}}{d ^{8} p ^{5}}

\frac{x}{x + 1} + x^{3}

What is expand (4x^2-x-1)(2x^2-2x+2) ?
The solution to expand (4x^2-x-1)(2x^2-2x+2) is 8x^4-10x^3+8x^2-2