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

Simplify

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

= x^{5} - 1

\frac{2}{3} \cdot \frac{6}{5}

\frac{x - 2}{x + 2}

\frac{7 ^{- 5}}{7 ^{3}}

(\frac{3}{2} 3^{6} 4^{- 6})^{2}

\frac{5 - i}{5 + i}

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