Question

what are the coefficients of X in 2x-5y+6​

Answer 1

coefficent of x is 2

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Answer 2

Answer:

By binomial theorem

(a+x)n=∑m=0n(nm)an−mxm

Let us substitute a = 2 x, x = 5 y and n = 5

(2x+5y)5=∑m=05(5m)(2x)5−m(5y)m

when m will be equal to 5, the term in the binomial expansion will be free of x

(55)(2x)5−5(5y)5=3125y5

∴The term free of x is3125y5in which coefficient of

y5is 3125.