Binomial Theorem
Unlock all 5 questions & worked solutions
You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.
All Questions
Access the full question set for every topic.
Worked Solutions
Step-by-step explanations for every answer.
Track Progress
Mark questions right or wrong and monitor your growth.
It's Free
No credit card required - sign up in under a minute.
Find the fourth term in the expansion of \({(\dfrac{x}{2} - \dfrac{y}{3})^6}\)
\begin{aligned}
T_{k+1}&=\left(\begin{array}{c}
n \\
k
\end{array}\right) a^{n-k} b^{k} \\
T_{4}&=\left(\begin{array}{l}
6 \\
3
\end{array}\right)\left(\frac{x}{2}\right)^{3}\left(-\frac{y}{3}\right)^{3} \\
&=20 \times \frac{x^{3}}{8} \times \frac{-y^{3}}{27} \\
\therefore T_{4}&=\frac{-5 x^{3} y^{3}}{54}
\end{aligned}
📚 Want More Questions?
There are 4 more questions available. Create your free account to access the complete question set with detailed solutions.