Question

Find the term independent of x in the expansion of (1 - x²)(x + 2/x)⁶

Answer 1

(1 - x²) (x + 2/x)⁶ = (x + 2/x)⁶ - x²(x + 2/x)⁶

Consider (x + 2/x)⁶

Here, a = x, b = 2/x, n = 6

We have

To get the term independent of x in the expansion of (x + 2/x)⁶, we must have

To get the term independent of x in the expansion of x²(x + 2/x)⁶, we must have

\(\therefore\) Term independent of x in the expansion of