(3x - 5/x)^2 = 9x^2 -30 + 25/x^2
The constant term is -30.
Do the multiplication by (3x - 5/x) eight more times for the second part of your question.
Find the constant term or the term independent of x in the expansion of (3x – 5/x to the 2nd power )and to the 9th power
4 answers
In the expansion of (3x - 5/x)^n
there is no term independent of x, (a constant term), if n is odd, in your case 9
the general term would be C(9,r)(3x)r(-5/x)9-r
=C(9,r)(3)r (-5)^-rxr-9
=C(9,r)(3)r(-5)9-rx2r-9
so 2r-9 = 0 for the x to drop out
but r has to be a whole number, so there is no solution
there is no term independent of x, (a constant term), if n is odd, in your case 9
the general term would be C(9,r)(3x)r(-5/x)9-r
=C(9,r)(3)r (-5)^-rxr-9
=C(9,r)(3)r(-5)9-rx2r-9
so 2r-9 = 0 for the x to drop out
but r has to be a whole number, so there is no solution
Where did you get -30 from?
to drwls
to drwls
thz i am done wit this