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

The solution to expand (-a^3+a^2-2a+2)*(a+1) is -a^4-a^2+2

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expand (-a^3+a^2-2a+2)*(a+1)

expand

(- a^{3} + a^{2} - 2 a + 2) \cdot (a + 1)

- a^{4} - a^{2} + 2

Solution steps

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

Distribute parentheses

= - a^{3} a - a^{3} \cdot 1 + a^{2} a + a^{2} \cdot 1 - 2 aa - 2 a \cdot 1 + 2 a + 2 \cdot 1

Simplify

- a^{3} a - a^{3} \cdot 1 + a^{2} a + a^{2} \cdot 1 - 2 aa - 2 a \cdot 1 + 2 a + 2 \cdot 1 : - a^{4} - a^{2} + 2

= - a^{4} - a^{2} + 2

36 y^{2}

1^{2}

\frac{7}{3} \div 2

(2^{3})^{\frac{1}{2}}

- 5 x^{4} + 70 x^{3} + 75 x^{2}

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