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

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

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

expand

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

x^{4} + 2 x^{2} + x + 2

Solution steps

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

Distribute parentheses

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

Simplify

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

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

5 (a + 1)^{2}

\frac{7}{5} - \frac{2}{3}

\frac{8 3}{2}

5 42 x (4 + 4 7 x)

- 10 v + 6 v

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