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

The solution to expand (x^4-x^3+x^2-x+1)(x^4+x^3+x^2+x+1) is x^8+x^6+x^4+x^2+1

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

expand

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

x^{8} + x^{6} + x^{4} + x^{2} + 1

Solution steps

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

Distribute parentheses

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

Simplify

x^{4} x^{4} + x^{4} x^{3} + x^{4} x^{2} + x^{4} x + x^{4} \cdot 1 - x^{3} x^{4} - x^{3} x^{3} - x^{3} x^{2} - x^{3} x - x^{3} \cdot 1 + x^{2} x^{4} + x^{2} x^{3} + x^{2} x^{2} + x^{2} x + x^{2} \cdot 1 - x x^{4} - x x^{3} - x x^{2} - xx - x \cdot 1 + 1 \cdot x^{4} + 1 \cdot x^{3} + 1 \cdot x^{2} + 1 \cdot x + 1 \cdot 1 : x^{8} + x^{6} + x^{4} + x^{2} + 1

= x^{8} + x^{6} + x^{4} + x^{2} + 1

6 (12 + 7)

\frac{s + 1}{s ^{2} ( s ^{2} - 2 s + 5 )}

x^{4} 4 - x (e^{k} - e^{- x})

4 (x + Δ x)^{2} - 3 (x + Δ x) - 2

What is expand (x^4-x^3+x^2-x+1)(x^4+x^3+x^2+x+1) ?
The solution to expand (x^4-x^3+x^2-x+1)(x^4+x^3+x^2+x+1) is x^8+x^6+x^4+x^2+1