Answer:

Explanation:
To find the values of
and
such that the given expression becomes an identity, we can use partial fraction decomposition. The expression in question is:

The denominator can be factored as:
.
Now, we express the given fraction as the sum of two fractions with unknown values
and
:

To find
and
, we can clear the denominators by multiplying both sides of the equation by the common denominator
. This gives:

Now, we can solve for
and
by comparing coefficients. Let's expand the right side:

Now, group like terms:

By comparing coefficients, we can write a system of equations:


Solving this system will give us the values of
and
that turn the equation into an identity. Let's solve the system:


Multiplying the second equation by 2 to match coefficients:


Subtracting the first equation from the second:



Now, substitute the value of
back into one of the original equations. Using the first equation:

Multiply both sides by 17 to get rid of the fraction:




So, the values of
and
that turn the given expression into an identity are:
