Which term is independent of x in expansion of (3x3 − \(\frac{1}{2x

1.	Which term is independent of x in expansion of (3x3 − \(\frac{1}{2x^3}\))10
Answer» Let (r + 1)^thterm be independent of in the given expression Now T_{r + 1} = ¹⁰Cr (3x)^{10 – r} ( –\(\frac{1}{2x^3}\))^r = ¹⁰Cr (3x)^{10 – r}( –\(\frac{1}{2}\))^r x^{30 − 6} This term is independent of x, if 30 – 6r = 0 ⇒ r = 5 So, (5 + 1)^thi.e 6th terms is independent of x

Which term is independent of x in expansion of (3x3 − \(\frac{1}{2x^3}\))10

Answer»

Let (r + 1)^thterm be independent of in the given expression

Now T_{r + 1} = ¹⁰Cr (3x)^{10 – r} ( –\(\frac{1}{2x^3}\))^r

= ¹⁰Cr (3x)^{10 – r}( –\(\frac{1}{2}\))^r x^{30 − 6}

This term is independent of x, if

30 – 6r = 0

⇒ r = 5

So, (5 + 1)^thi.e 6th terms is independent of x