Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.

Guest Feb 21, 2023

#1**0 **

Hello

If a and b are real numbers and n is a positive integer, then

(a + b)

n

=nC0

a

n + nC1

a

n – 1 b

1

+ nC2

a

n – 2 b

2

+ ...

... + nCr

a

n – r

br

+ ... + nCn

b

n

, where nCr

=

n

r n r −

for 0 ≤ r ≤ n

The general term or (r + 1)th term in the expansion is given by

Tr + 1 = nCr

a

n–r b

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reneau34 Feb 21, 2023