E-GT01 · A coefficient ladder through zero
Consider \(\displaystyle (2x^2-\frac1x)^6\), where \(x\ne0\).
Write the general term in binomial order, including its index restrictions.
Find the constant term and the term in \(x^{-3}\).
List all powers of x occurring in the expansion. Hence explain why the coefficient of \(x^4\) is zero.
Complete-answer checking, worked solutions and indicative written criteria.
Open the complete answer form