What is expand (x^3-1-x^2)(x^2+x^3+1) ?

The solution to expand (x^3-1-x^2)(x^2+x^3+1) is x^6-x^4-2x^2-1

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expand (x^3-1-x^2)(x^2+x^3+1)

expand

(x^{3} - 1 - x^{2}) (x^{2} + x^{3} + 1)

x^{6} - x^{4} - 2 x^{2} - 1

Solution steps

(x^{3} - 1 - x^{2}) (x^{2} + x^{3} + 1)

Distribute parentheses

= x^{3} x^{2} + x^{3} x^{3} + x^{3} \cdot 1 - 1 \cdot x^{2} - 1 \cdot x^{3} - 1 \cdot 1 - x^{2} x^{2} - x^{2} x^{3} - x^{2} \cdot 1

Simplify

x^{3} x^{2} + x^{3} x^{3} + x^{3} \cdot 1 - 1 \cdot x^{2} - 1 \cdot x^{3} - 1 \cdot 1 - x^{2} x^{2} - x^{2} x^{3} - x^{2} \cdot 1 : x^{6} - x^{4} - 2 x^{2} - 1

= x^{6} - x^{4} - 2 x^{2} - 1

- 7 (w - 4) + 3 w - 27

6 (x + 1) - 5 (x + 2)

\frac{x ^{6} - 1}{x - 1}

- 16 x - [5 x + 7 (- 3 x + 2)]

8 - 60

What is expand (x^3-1-x^2)(x^2+x^3+1) ?
The solution to expand (x^3-1-x^2)(x^2+x^3+1) is x^6-x^4-2x^2-1