What is expand (x^2-3x+1)(x^2-6x-6) ?

The solution to expand (x^2-3x+1)(x^2-6x-6) is x^4-9x^3+13x^2+12x-6

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expand (x^2-3x+1)(x^2-6x-6)

expand

(x^{2} - 3 x + 1) (x^{2} - 6 x - 6)

x^{4} - 9 x^{3} + 13 x^{2} + 12 x - 6

Solution steps

(x^{2} - 3 x + 1) (x^{2} - 6 x - 6)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 6 x) + x^{2} (- 6) - 3 x x^{2} - 3 x (- 6 x) - 3 x (- 6) + 1 \cdot x^{2} + 1 \cdot (- 6 x) + 1 \cdot (- 6)

Simplify

x^{2} x^{2} + x^{2} (- 6 x) + x^{2} (- 6) - 3 x x^{2} - 3 x (- 6 x) - 3 x (- 6) + 1 \cdot x^{2} + 1 \cdot (- 6 x) + 1 \cdot (- 6) : x^{4} - 9 x^{3} + 13 x^{2} + 12 x - 6

= x^{4} - 9 x^{3} + 13 x^{2} + 12 x - 6

\frac{sin ( x )}{cos ( x )} - \frac{cos ( x )}{sin ( x )}

- 9 + - 12 - 16 + - 192

\frac{46}{5}

\frac{- \frac{3}{5}}{- \frac{4}{5}}

2 x^{2} + 7 x y + 3 y^{2}

What is expand (x^2-3x+1)(x^2-6x-6) ?
The solution to expand (x^2-3x+1)(x^2-6x-6) is x^4-9x^3+13x^2+12x-6