What is expand (3x^2+x-2)(-4x^2-2x-1) ?

The solution to expand (3x^2+x-2)(-4x^2-2x-1) is -12x^4-10x^3+3x^2+3x+2

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expand (3x^2+x-2)(-4x^2-2x-1)

expand

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

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

Solution steps

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

Distribute parentheses

= 3 x^{2} (- 4 x^{2}) + 3 x^{2} (- 2 x) + 3 x^{2} (- 1) + x (- 4 x^{2}) + x (- 2 x) + x (- 1) - 2 (- 4 x^{2}) - 2 (- 2 x) - 2 (- 1)

Simplify

3 x^{2} (- 4 x^{2}) + 3 x^{2} (- 2 x) + 3 x^{2} (- 1) + x (- 4 x^{2}) + x (- 2 x) + x (- 1) - 2 (- 4 x^{2}) - 2 (- 2 x) - 2 (- 1) : - 12 x^{4} - 10 x^{3} + 3 x^{2} + 3 x + 2

= - 12 x^{4} - 10 x^{3} + 3 x^{2} + 3 x + 2

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

\frac{3 x ^{2}}{x}

(x - 4) (x - 3)

- 2 x + 4

What is expand (3x^2+x-2)(-4x^2-2x-1) ?
The solution to expand (3x^2+x-2)(-4x^2-2x-1) is -12x^4-10x^3+3x^2+3x+2