What is expand (1+2x-x^2)^5 ?

The solution to expand (1+2x-x^2)^5 is -x^{10}+10x^9-35x^8+40x^7+30x^6-68x^5-30x^4+40x^3+35x^2+10x+1

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expand (1+2x-x^2)^5

expand

(1 + 2 x - x^{2})^{5}

- x^{10} + 10 x^{9} - 35 x^{8} + 40 x^{7} + 30 x^{6} - 68 x^{5} - 30 x^{4} + 40 x^{3} + 35 x^{2} + 10 x + 1

Solution steps

(1 + 2 x - x^{2})^{5}

(1 + 2 x - x^{2})^{5} = (1 + 2 x - x^{2}) (1 + 2 x - x^{2}) (1 + 2 x - x^{2}) (1 + 2 x - x^{2}) (1 + 2 x - x^{2})

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

Expand

(1 + 2 x - x^{2}) (1 + 2 x - x^{2}) (1 + 2 x - x^{2}) (1 + 2 x - x^{2}) (1 + 2 x - x^{2}) : - x^{10} + 10 x^{9} - 35 x^{8} + 40 x^{7} + 30 x^{6} - 68 x^{5} - 30 x^{4} + 40 x^{3} + 35 x^{2} + 10 x + 1

= - x^{10} + 10 x^{9} - 35 x^{8} + 40 x^{7} + 30 x^{6} - 68 x^{5} - 30 x^{4} + 40 x^{3} + 35 x^{2} + 10 x + 1

\frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )}

\frac{e ^{- 2 s} ( t + 2 ) + 3}{( s + 2 ) ( s + 5 )}

(csc (x) + 1) (sec (x) - tan (x))

(x - \frac{1}{3}) (x + 6)

15 (1 + lo g_{2} (5))

What is expand (1+2x-x^2)^5 ?
The solution to expand (1+2x-x^2)^5 is -x^{10}+10x^9-35x^8+40x^7+30x^6-68x^5-30x^4+40x^3+35x^2+10x+1