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

The solution to expand (2x^2+x-1)(3x^3-2x-3) is 6x^5+3x^4-7x^3-8x^2-x+3

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

expand

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

6 x^{5} + 3 x^{4} - 7 x^{3} - 8 x^{2} - x + 3

Solution steps

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

Distribute parentheses

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

Simplify

2 x^{2} \cdot 3 x^{3} + 2 x^{2} (- 2 x) + 2 x^{2} (- 3) + x \cdot 3 x^{3} + x (- 2 x) + x (- 3) - 1 \cdot 3 x^{3} - 1 \cdot (- 2 x) - 1 \cdot (- 3) : 6 x^{5} + 3 x^{4} - 7 x^{3} - 8 x^{2} - x + 3

= 6 x^{5} + 3 x^{4} - 7 x^{3} - 8 x^{2} - x + 3

4 (f g + 3 g) + 5 g

812

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

(\frac{2}{3} x + 5)^{2}

(- 3 x)^{4}

What is expand (2x^2+x-1)(3x^3-2x-3) ?
The solution to expand (2x^2+x-1)(3x^3-2x-3) is 6x^5+3x^4-7x^3-8x^2-x+3