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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

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

5 x^{3} - x^{2}

5 44 z + 99 z

- 3 (2 x - 1)

5^{5} \cdot 5^{6}

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