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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

c^{2} + 2 c d + d^{2}

- \frac{x}{7} + x^{2} - 1

- 8 (- 2 r - 2) - 6 r

\frac{1}{2} x^{2} + x - \frac{3}{2}

(- 5 x^{4} y^{4})^{3}

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