Question

find the coefficient of x power of -4 in (2x- 3/x)power of 8 ​

Answer 1

Step-by-step explanation:

There are only two terms with the first power of x, namely (−2x)(1) and 3(n1)(x2). So (−2x)(1)+3(n1)(x2)=7x which gives n=6.

When you expand the power using Binomial Theorem and multiply by 3−2x you get the first power of x if you multiply the constant term in 3−2x by the coefficient of x in (1+x2)n or you multiply the constant term in (1+x2)n by the coefficient of x in 3−2x.