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+2x^3+x^2-1

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

expand

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

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

= x^{4} + 2 x^{3} + x^{2} - 1

8^{12} \cdot (8^{7})^{- 2}

\frac{3}{9}

\frac{( 3 - 2 i )}{( - 1 + i )}

2 \cdot 32

x^{3} y + x y^{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+2x^3+x^2-1