Question: In the expansion of $\left( \sqrt{x^{5}} + \frac{3}{\sqrt{x^{3}}} \right)^{6}$ coefficient of x<su...

Question

In the expansion of $\left( \sqrt{x^{5}} + \frac{3}{\sqrt{x^{3}}} \right)^{6}$ coefficient of x³ is –

Answer 1

r = $\frac{n\alpha - m}{\alpha + \beta}$

Ž r = $\frac{6 \times 5/2 - 3}{5/2 + 3/2}$ = $\frac{12}{4}$ = 3

\ T₄ = ⁶C₃ (3)³ = 540

Question: In the expansion of \(\left( \sqrt{x^{5}} + \frac{3}{\sqrt{x^{3}}} \right)^{6}\) coefficient of x<su...