Which is the correct form of the partial fraction decomposition for the expression StartFraction 4 x cubed + 3 x squared Over (x + 1) squared (x squared + 7) squared EndFraction?

Given:

The expression is:

To find:

The correct form of the partial fraction decomposition for the given expression.

Solution:

We have,

By partial fraction decomposition, it can be written as:

          ...(i)

On comparing both sides, we get

On solving these equations, we get

Substituting these values in (i), we get

Therefore, the required partial fraction decomposition is:

its 69.420

step-by-step explanation: