Question

Find the coefficient of x² and co efficient of x² in (x²-1/x³)6​

Answer 1

Kindly refer the attachment for solution...

Answer 2

$\huge\fbox{\dag Answer \dag}$

Let Tr+1Tr+1 be the term containing

x2x2.

⇒Tr+1=6Cr(x2)6−r(1x3)rTr+1

⇒6Cr(x2)6−r(1x3)r

⇒6Crx12−2r1x3r

⇒6Crx12−5r

As the coefficient of x is 2

⇒12 - 5r = 2

⇒ r = 2

∴∴ Coefficient of x2=6C2=15x2=6C2=15