Find the coefficient a of the term in the expansion of this binomial
(x^2+y)^10 TERM: ax^8y^6
You can use Pascal's Triangle to perform Binomial Expansion. There are lots of very good explanations of how to do this on the web. Just run a search for "binomial expansion pascal triangle".
Look at the 10th row of Pascal's Triangle. To make this problem look like a 'normal' one, you can let and . Then you'll be looking for the term when is to the 4th power and is to the 6th power.
The first number in the 10th row is the coefficient for . The second number is the coefficient for . And so on with the exponent on decreasing and the exponent on decreasing. You'll be looking for the 7th number in the 10th row.