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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

(2 n + 3) (n - 2)

(- 3 i) + (3 + 5 i)

5 a + 6 a^{2} + 7 a^{0} - 4 a^{2} - 9 a

(3 - 6 i) (3 + 6 i)

25 \cdot 9

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