Question

The 4^th term from the end in the expansion of `(x^3/2 - 2/x^2)^7` is ______.

पर्याय

• 70x

• 70x²

•  –35x⁶

•  –70x

Answer 1

The 4^th term from the end in the expansion of `(x^3/2 - 2/x^2)^7` is 70x.

Explanation:

Fourth term from the end

=(7 – 4 + 2)^th term from beginning

⇒ 5^th term from beginning

T₅ = `""^7"C"_4(x^3/2)^3(-2/x^2)^4`

= `35/8 . 16x`

= 70x