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

The solution to expand (x-1)(x^2+2)^3 is x^7-x^6+6x^5-6x^4+12x^3-12x^2+8x-8

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

expand

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

x^{7} - x^{6} + 6 x^{5} - 6 x^{4} + 12 x^{3} - 12 x^{2} + 8 x - 8

Solution steps

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

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

Expand

(x^{2} + 2)^{3} : x^{6} + 6 x^{4} + 12 x^{2} + 8

= (x^{6} + 6 x^{4} + 12 x^{2} + 8) (x - 1)

Distribute parentheses

= x^{6} x + x^{6} (- 1) + 6 x^{4} x + 6 x^{4} (- 1) + 12 x^{2} x + 12 x^{2} (- 1) + 8 x + 8 (- 1)

Simplify

x^{6} x + x^{6} (- 1) + 6 x^{4} x + 6 x^{4} (- 1) + 12 x^{2} x + 12 x^{2} (- 1) + 8 x + 8 (- 1) : x^{7} - x^{6} + 6 x^{5} - 6 x^{4} + 12 x^{3} - 12 x^{2} + 8 x - 8

= x^{7} - x^{6} + 6 x^{5} - 6 x^{4} + 12 x^{3} - 12 x^{2} + 8 x - 8

(3 x + 4 y)^{5}

1 - a^{2} - 9 n^{2} - 6 an

\frac{- 8}{- 12}

(12 x^{3})^{2}

8 h^{3} - 1

What is expand (x-1)(x^2+2)^3 ?
The solution to expand (x-1)(x^2+2)^3 is x^7-x^6+6x^5-6x^4+12x^3-12x^2+8x-8