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

Simplify

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

\frac{3 ^{2} + 1 5 ^{2}}{2} \cdot 13

\frac{- 48}{- 12}

37 \cdot 4

\frac{9 x}{3}

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