What is expand (x^4-x^3+x^2-x+1)(x+1) ?

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

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expand (x^4-x^3+x^2-x+1)(x+1)

expand

(x^{4} - x^{3} + x^{2} - x + 1) (x + 1)

x^{5} + 1

Solution steps

(x^{4} - x^{3} + x^{2} - x + 1) (x + 1)

Distribute parentheses

= x^{4} x + x^{4} \cdot 1 - x^{3} x - x^{3} \cdot 1 + x^{2} x + x^{2} \cdot 1 - xx - x \cdot 1 + 1 \cdot x + 1 \cdot 1

Simplify

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

= x^{5} + 1

(x^{2} - y^{2}) (a^{2} - b^{2})

8 (2 n + 8)

- 5 (3)

\frac{x ^{2} - 1}{( x - 1 ) ^{2}}

- 7 + 11

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