Question

Find the term indicate in each expansion(2x+y)^6; third term

Answer 1

Use the next general form to find the expansion of the given binomial:

`(a+b)^6=a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6`

Then, the third term of the given binomial expansion is:

`\begin{gathered} (2x+y)^6 \\ \\ 15(2x)^4y^2=15(16x^4)y^2=240x^4y^2 \end{gathered}`

Answer: 240x^4y^2