Find the term independent of x in the expansion of (91 + x + 2x³) .

To Find : term independent of x, i.e. coefficient of x⁰

Formula :

We have a formula,

Therefore, the expansion of is given by,

Now,

Multiplying the second bracket by 91 , x and 2x³

In the first bracket, there will be a 6^th term of x⁰ having coefficient

While in the second and third bracket, the constant term is absent.

Therefore, the coefficient of term independent of x, i.e. constant term in the above expansion

=-91(2)⁵ (252)

Conclusion : coefficient of term independent of x =-91(2)⁵ (252)