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

The solution to expand (-x^2-4x-1)(3x^2-4x+1) is -3x^4-8x^3+12x^2-1

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

expand

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

- 3 x^{4} - 8 x^{3} + 12 x^{2} - 1

Solution steps

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

Distribute parentheses

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

Simplify

- x^{2} \cdot 3 x^{2} - x^{2} (- 4 x) - x^{2} \cdot 1 - 4 x \cdot 3 x^{2} - 4 x (- 4 x) - 4 x \cdot 1 - 1 \cdot 3 x^{2} - 1 \cdot (- 4 x) - 1 \cdot 1 : - 3 x^{4} - 8 x^{3} + 12 x^{2} - 1

= - 3 x^{4} - 8 x^{3} + 12 x^{2} - 1

\frac{22}{80}

8 (2 w + 5)

\frac{- 3 ( w ^{4} ) ^{- 1}}{5 j ^{- 6}}

2 t + 8

\frac{( 3 k ) ^{3}}{4 k ^{6}}

What is expand (-x^2-4x-1)(3x^2-4x+1) ?
The solution to expand (-x^2-4x-1)(3x^2-4x+1) is -3x^4-8x^3+12x^2-1