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For natural numbers m, n, if (1-y)^m(1+y...

For natural numbers `m`, `n`, if `(1-y)^m(1+y)^n=1+a_1y+a_2y^2+...,` and `a_1=a_2=10` then (A)`mltn` (B)`mgtn` (C)`m+n=80` (D)`m-n=20`

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`(1-y)^m(1+y)^n`
Coeffocient of `y'=mC_0*nC_1+mC_1*nC_0`
`n-m=10`
Coefficient of `y^2=nC_2-nC_1*mC_1+mc_2`
`(n(n-1))/2-m*n+(m(m-1))/2`
`n^2-n-2mn+m^2-m=20`
`(n-m)^2-n-m=20`
`100-m-n=20`
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