What is expand (x^3+2x^2-x)(x^2-2x+5) ?

The solution to expand (x^3+2x^2-x)(x^2-2x+5) is x^5+12x^2-5x

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expand (x^3+2x^2-x)(x^2-2x+5)

expand

(x^{3} + 2 x^{2} - x) (x^{2} - 2 x + 5)

x^{5} + 12 x^{2} - 5 x

Solution steps

(x^{3} + 2 x^{2} - x) (x^{2} - 2 x + 5)

Distribute parentheses

= x^{3} x^{2} + x^{3} (- 2 x) + x^{3} \cdot 5 + 2 x^{2} x^{2} + 2 x^{2} (- 2 x) + 2 x^{2} \cdot 5 - x x^{2} - x (- 2 x) - x \cdot 5

Simplify

x^{3} x^{2} + x^{3} (- 2 x) + x^{3} \cdot 5 + 2 x^{2} x^{2} + 2 x^{2} (- 2 x) + 2 x^{2} \cdot 5 - x x^{2} - x (- 2 x) - x \cdot 5 : x^{5} + 12 x^{2} - 5 x

= x^{5} + 12 x^{2} - 5 x

(n + 3) (n + 5)

3^{2} + 1^{2}

- \frac{5}{3}

(2 + 3 i) (6 - 2 i)

- 3 + (- 1)

What is expand (x^3+2x^2-x)(x^2-2x+5) ?
The solution to expand (x^3+2x^2-x)(x^2-2x+5) is x^5+12x^2-5x