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Grade 12th PassAlgebra

If (1 + x) (1 + x + x2) (1 + x + x2 + x3) ...... (1 + x + x2 + x3 + ...... + xn) align=absMiddle a0 + a1x + a2x2 + a3x3 + ...... + amxm then align=absMiddle has the value equal to
n!
(n + 1) !
(n - 1)!
none

Profile image of VISHWESH RAVI
16 Years agoGrade 12th Pass
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1 Answer

Profile image of Nehal Wani
16 Years ago

  =a0 + a1(1) + a2(1)2 + a3(1)3 + ...... + am(1)m

 =a0 + a1x + a2x2 + a3x3 + ...... + amxm ………where x=1

=(1 + x) (1 + x + x2) (1 + x + x2 + x3) ...... (1 + x + x2 + x3 + ...... + xn)

 =1.2.3.4.5.6……………………………n=n!