What is expand (1+x^3)(x^2-5x+2) ?

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

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expand (1+x^3)(x^2-5x+2)

expand

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

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

Solution steps

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

Distribute parentheses

= 1 \cdot x^{2} + 1 \cdot (- 5 x) + 1 \cdot 2 + x^{3} x^{2} + x^{3} (- 5 x) + x^{3} \cdot 2

Simplify

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

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

- 120

- 180

7 (- 10 x^{2} + 7 x - 9)

\frac{7}{5 - 2}

(- s^{2} - 3) - (2 s^{2} + 10 s)

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