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

The solution to expand (1+x-x^2)^5 is -x^{10}+5x^9-5x^8-10x^7+15x^6+11x^5-15x^4-10x^3+5x^2+5x+1

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

expand

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

- x^{10} + 5 x^{9} - 5 x^{8} - 10 x^{7} + 15 x^{6} + 11 x^{5} - 15 x^{4} - 10 x^{3} + 5 x^{2} + 5 x + 1

Solution steps

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

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

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

Expand

(1 + x - x^{2}) (1 + x - x^{2}) (1 + x - x^{2}) (1 + x - x^{2}) (1 + x - x^{2}) : - x^{10} + 5 x^{9} - 5 x^{8} - 10 x^{7} + 15 x^{6} + 11 x^{5} - 15 x^{4} - 10 x^{3} + 5 x^{2} + 5 x + 1

= - x^{10} + 5 x^{9} - 5 x^{8} - 10 x^{7} + 15 x^{6} + 11 x^{5} - 15 x^{4} - 10 x^{3} + 5 x^{2} + 5 x + 1

16 - 9 y 4

e^{2 x (y l n (y) - y)}

(x + y - z)^{5}

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

\frac{x ^{2} - 6}{( x + 2 ) ( 2 x - 1 )}

What is expand (1+x-x^2)^5 ?
The solution to expand (1+x-x^2)^5 is -x^{10}+5x^9-5x^8-10x^7+15x^6+11x^5-15x^4-10x^3+5x^2+5x+1