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

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

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

expand

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

x^{4} - x^{2} - 2 x - 1

Solution steps

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

Distribute parentheses

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

Simplify

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

= x^{4} - x^{2} - 2 x - 1

7 x^{2} - 7 y

- 9 x^{2} - 4 x - 1 + 5 x + 10

3 + - 36

(6 r - 5) (6 r + 1)

∣ 5 - 2 i ∣

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