d:[["$","title","0",{"children":"IPMAT Indore - The sum of the coefficients of all the terms in the expansion of (5 x-9)^4 is __________. | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined To find the sum of coefficients in any polynomial expansion, substitute x = 1. =(5x - 9)^4 =(5(1) - 9)^4 =(5 - 9)^4 =(-4)^4 =256

How does this work? When we expand (5x - 9)^4, we >=t: ax^4 + bx^3 + cx^2 + dx + e To find a + b + c + d + e, substitute x = 1: a(1)^4 + b(1)^3 + c(1)^2 + d(1) + e = a + b + c + d + e This method works for any polynomial and is much faster than full expansion. The sum of coefficients = 256

You do not have to expand it entirely:

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You do not have to expand it entirely:

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You do not have to expand it entirely:

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