Answer: (5x(x + 2) - 75)/(x - 5)
Step-by-step explanation:
To rewrite the expression 5x^2 + 10x - 75/(x - 5), we can start by factoring the quadratic term.
The quadratic term 5x^2 + 10x can be factored as 5x(x + 2).
Next, we can simplify the expression by factoring out a common factor from the numerator and denominator of the fraction. The common factor in this case is (x - 5).
So, the expression can be rewritten as:
(5x(x + 2) - 75)/(x - 5)