(2x+10)/((x-3)^2):((x+5)^3)/(x^2)-9

To solve the given expression, we need to simplify it step by step. The expression is: First, let's rewrite the division as multiplication by the reciprocal: Next, factorize the numerators and denominators where possible. Notice that can be factored as \(2(x + 5)\), and can be factored as \((x - 3)(x + 3)\): Now, cancel out the common factors in the numerator and the denominator. The term \((x+5)\) appears in both the numerator and the denominator, so we can cancel one instance of it: This simplifies to: Next, cancel out the common factor \((x-3)\): This further simplifies to: Finally, distribute the terms in the denominator: Thus, the simplified form of the given expression is: