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The Coefficient of x^3 in the expansion of (1-x+x^2)^5 is. ??

The Coefficient of x^3 in the expansion of (1-x+x^2)^5 is.  ??

Grade:12th pass

1 Answers

SREEKANTH
85 Points
4 years ago
the expansion of (1+x^2-x)^5=((1+x^2)-x)^5
                                                  =5c0(1+x^2)^5+5c1(1+x^2)^4x+5c2(1+x^2)^3 x^2+...5c5x^5
                                                  =(5c0)+(5c1)(5c1)+(5c3)(5c0)
                                                  =1+25+10
                                                  =36   is the coefficient of x^3 in the expansion of (1+x^2-x)^5

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