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

The solution to expand (-4x^2+3x+3)(x^2-2x+2) is -4x^4+11x^3-11x^2+6

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

expand

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

- 4 x^{4} + 11 x^{3} - 11 x^{2} + 6

Solution steps

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

Distribute parentheses

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

Simplify

- 4 x^{2} x^{2} - 4 x^{2} (- 2 x) - 4 x^{2} \cdot 2 + 3 x x^{2} + 3 x (- 2 x) + 3 x \cdot 2 + 3 x^{2} + 3 (- 2 x) + 3 \cdot 2 : - 4 x^{4} + 11 x^{3} - 11 x^{2} + 6

= - 4 x^{4} + 11 x^{3} - 11 x^{2} + 6

\frac{8 14}{12 18}

1 - \frac{1}{1 - \frac{3}{x}}

\frac{3 ^{- 6}}{3 ^{- 10}}

(2 v + 3) (2 v - 3) (- 3 v + 1)

\frac{- 7}{- 7}

What is expand (-4x^2+3x+3)(x^2-2x+2) ?
The solution to expand (-4x^2+3x+3)(x^2-2x+2) is -4x^4+11x^3-11x^2+6