Determine coeff. of middle term in expansion of (2x - 3)^10

[kathy's]

okay the question is as follows:

determine the coefficient of the middle term in the expanxion of
(2x-3)^ 10

n/2 = 10/2 = 5

10C5 (2x)^10-3 (-3)^5 =
252(128X^5)(243)

= 7838208x^5

is this correct? thanks in advance!?

 

[galactus]

No. It's not.

Try this:

\(\displaystyle \L\\C(10,5)(2x)^{5}(-3)^{5}\)