Find the coefficient of x in the expansion of (1 – 3x + 7x 2 ) (1 – x) 16 .

Question

Philoid · Accepted Answer

To Find : coefficient of x

Formula :

We have a formula,

Therefore, expansion of (1-x)¹⁶ is given by,

Now,

Multiplying the second bracket by 1 , (-3x) and 7x²

In the above equation terms containing x are

and -3x

Therefore, the coefficient of x in the above expansion

=-16-3

=-19

Conclusion : coefficient of x =-19

Find the coefficient of x in the expansion of (1 – 3x + 7x2) (1 – x)16.