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IPMAT Indore 2022 - QA (SA) Q5 Explanation
December 26, 2024
Explanation:
(256)
Using Binomial Theorem,
(5x -9)^4 = 4C0 (5x)^4 (-9)0 + 4 4 1 (5x)^3 (-9)^1 + …………+ 4(4(5x)^0(-9)^4
We can obtain sum of coefficients of all the terms in the expansion by substituting x =1 on the RHS.
As RHS equals to LHS, we can get the sum of coefficients even by substituting x = 1 in LHS only.
∴ Put x = 1 in L.H.S expression, we get
(5.1-9)^4 = (-4)^4 = 256