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What is the fourth term of (x – 5y)^96?(a) 125 ^96C3 x^93 y^3(b) 625 ^96C3 x^93 y^4(c) 625 ^96C4 x^92 y^4(d) 125 ^96C4 x^92 y^4I have been asked this question by my college director while I was bunking the class.My query is from Binomial Theorem topic in chapter Binomial Theorem of Mathematics – Class 11

Answer»

Right answer is (a) 125 ^96C3 x^93 y^3

The BEST I can explain: TR + 1 = ^nCr x^n – r y^r

Here first term is 4 and second term is 5y.

n = 96

r = 3

Therefore, Tr + 1 = ^96C3 x^96 – 3 (5y)^3

= 125 ^96C3 x^93 y^3



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