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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} \cdot 2 x^{3} + x^{2} \cdot 1 - 3 x \cdot 2 x^{3} - 3 x \cdot 1 + 2 \cdot 2 x^{3} + 2 \cdot 1 : 2 x^{5} + x^{2} - 6 x^{4} - 3 x + 4 x^{3} + 2

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

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