1.

If (1+x+x^2+____x^100) (1-x+x^2-x^3+___+x^150) =a_0+a_1x+a_2x^2+____ +a_250 x^250 Then the value of a_0+a_2 + a_4+____ + a_250 is equal to ___

Answer»


SOLUTION :PUT x=1 we get `101 XX 1 = a_0+a_1+a_2`____+`a_(250)`
Put x=-1 we get `1xx151=a_0-a_1+a_2` ___`a_250`
`252=2(a_0+a_2+____a_250)`
`a_0+a_2+a_4`+___+`a_250`= 126


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