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find the constant term in the expansion of
( 5x5+4x4+3x3+2x2+x+1+x-1+x-2+x-3+x-4+x-5 )2
Dear ajinkya
[(5x5+4x4+3x3+2x2+x)+1+(x-1+x-2+x-3+x-4+x-5 )]2
let A =(5x5+4x4+3x3+2x2+x)
B =(x-1+x-2+x-3+x-4+x-5 )
so [A+1+B]2 = A2 +1 +B2 +2A+2AB +2B
clearly A2 +B2 +2A+2B will not contain constant term
so constant term = 1+ 2( constant term in AB)
=1 + 2[1 +2 +3+4+5]
=31
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