112k views
2 votes
Find the 3rd term in the expansion of (a - b)4.

User Shahana
by
3.6k points

1 Answer

0 votes
Answer:

The third term is 6a²b²

Explanations:

The given expression is:


\begin{gathered} (a-b)^4 \\ \end{gathered}
\begin{gathered} (a-b)^4=4C0a^4(-b)^0+4C1a^3(-b)^1+4C26a^2(-b)^2+4C3a(-b)^3+4C4(-b)^4 \\ (a-b)^4=a^4-4a^3b+6a^2b^2-4ab^3+b^4 \end{gathered}
\text{The third term in the expansion is 6a}^2b^2

User Xahtep
by
3.3k points