What is expand (x^2+x-2)^5 ?

The solution to expand (x^2+x-2)^5 is x^{10}+5x^9-30x^7-15x^6+81x^5+30x^4-120x^3+80x-32

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expand (x^2+x-2)^5

expand

(x^{2} + x - 2)^{5}

x^{10} + 5 x^{9} - 30 x^{7} - 15 x^{6} + 81 x^{5} + 30 x^{4} - 120 x^{3} + 80 x - 32

Solution steps

(x^{2} + x - 2)^{5}

(x^{2} + x - 2)^{5} = (x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2)

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

Expand

(x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) : x^{10} + 5 x^{9} - 30 x^{7} - 15 x^{6} + 81 x^{5} + 30 x^{4} - 120 x^{3} + 80 x - 32

= x^{10} + 5 x^{9} - 30 x^{7} - 15 x^{6} + 81 x^{5} + 30 x^{4} - 120 x^{3} + 80 x - 32

(1, 2, - 2) \cdot (x, x^{2}, x^{3})

\frac{x + 4}{x ( x + 10 )}

(x - 1) e^{x - 1}

\frac{1}{x ( A - x )}

3 x^{3} x

What is expand (x^2+x-2)^5 ?
The solution to expand (x^2+x-2)^5 is x^{10}+5x^9-30x^7-15x^6+81x^5+30x^4-120x^3+80x-32