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

\int_{1}^{2} \frac{3}{x} + \frac{5}{x ^{2}} d x

x \to \infty lim ((lo g_{2} (x))^{2})

\frac{\partial}{\partial x} (y^{2} - 12 x)

\frac{d y}{d x}, 5 + 4 x = sin (x y^{3})

\int (\frac{1}{8}) y_{1} e^{- \frac{y _{1} + y _{2}}{2}} d y_{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