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

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

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

expand

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

2 x^{4} - x^{3} + 7 x - 3

Solution steps

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

Distribute parentheses

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

Simplify

x^{3} \cdot 2 x + x^{3} \cdot 3 - 2 x^{2} \cdot 2 x - 2 x^{2} \cdot 3 + 3 x \cdot 2 x + 3 x \cdot 3 - 1 \cdot 2 x - 1 \cdot 3 : 2 x^{4} - x^{3} + 7 x - 3

= 2 x^{4} - x^{3} + 7 x - 3

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 5 )}

- \frac{2}{2} + 1

lo g_{\frac{1}{2}} (7)

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

\frac{13}{7} - \frac{1}{9}

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