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

The solution to expand (2x^2-3x)(x-3)(x^2+2) is 2x^5-9x^4+13x^3-18x^2+18x

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

expand

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

2 x^{5} - 9 x^{4} + 13 x^{3} - 18 x^{2} + 18 x

Solution steps

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

Expand

(2 x^{2} - 3 x) (x - 3) (x^{2} + 2) : (2 x^{3} - 9 x^{2} + 9 x) (x^{2} + 2)

= (2 x^{3} - 9 x^{2} + 9 x) (x^{2} + 2)

Distribute parentheses

= 2 x^{3} x^{2} + 2 x^{3} \cdot 2 - 9 x^{2} x^{2} - 9 x^{2} \cdot 2 + 9 x x^{2} + 9 x \cdot 2

Simplify

2 x^{3} x^{2} + 2 x^{3} \cdot 2 - 9 x^{2} x^{2} - 9 x^{2} \cdot 2 + 9 x x^{2} + 9 x \cdot 2 : 2 x^{5} - 9 x^{4} + 13 x^{3} - 18 x^{2} + 18 x

= 2 x^{5} - 9 x^{4} + 13 x^{3} - 18 x^{2} + 18 x

(2 + i) \cdot (2 - i)

200 \div 25

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

11 \cdot 5

3 x + 1 + 8 x - 24

What is expand (2x^2-3x)(x-3)(x^2+2) ?
The solution to expand (2x^2-3x)(x-3)(x^2+2) is 2x^5-9x^4+13x^3-18x^2+18x