An improper fraction is a fraction where the numerator is greater than the denominator (like 7/5 which can be expressed as a proper fraction as 1 2/5). An improper fraction can be converted into a proper fraction by dividing the numerator by the denominator.

In this case, the numerator is x²+2x+2 and the denominator is x²+2x-3 (Multiplying the two terms in the denominator(x+3) and (x-1)) .

When the numerator is divided by the denominator, quotient 1 is obtained and the reminder is 5.

Therefore, the expression can be written as 1 + 5/[(x+3)(x-1)].