What is expand (3x^2-7x-2)(2x^2-x-1) ?

The solution to expand (3x^2-7x-2)(2x^2-x-1) is 6x^4-17x^3+9x+2

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expand (3x^2-7x-2)(2x^2-x-1)

expand

(3 x^{2} - 7 x - 2) (2 x^{2} - x - 1)

6 x^{4} - 17 x^{3} + 9 x + 2

Solution steps

(3 x^{2} - 7 x - 2) (2 x^{2} - x - 1)

Distribute parentheses

= 3 x^{2} \cdot 2 x^{2} + 3 x^{2} (- x) + 3 x^{2} (- 1) - 7 x \cdot 2 x^{2} - 7 x (- x) - 7 x (- 1) - 2 \cdot 2 x^{2} - 2 (- x) - 2 (- 1)

Simplify

3 x^{2} \cdot 2 x^{2} + 3 x^{2} (- x) + 3 x^{2} (- 1) - 7 x \cdot 2 x^{2} - 7 x (- x) - 7 x (- 1) - 2 \cdot 2 x^{2} - 2 (- x) - 2 (- 1) : 6 x^{4} - 17 x^{3} + 9 x + 2

= 6 x^{4} - 17 x^{3} + 9 x + 2

(x + 9) (x - 5)

4 \cdot \frac{8}{3}

\frac{45}{120}

k^{2} - 15 k - 16

m^{2} - 8 mn + 16 n^{2}

What is expand (3x^2-7x-2)(2x^2-x-1) ?
The solution to expand (3x^2-7x-2)(2x^2-x-1) is 6x^4-17x^3+9x+2