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+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} + 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} + 1

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

(3 - 2)^{2}

\frac{c - d}{\frac{1}{c} - \frac{1}{d}}

x^{3} + 6 x^{2} + 12 x + 7

\frac{32}{108}

8 \cdot (- 1)

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+1