Final answer:
To simplify the expression (x + 3)(x - 5) / (x(x - 2)), distribute the numerator over the denominator and simplify the resulting expression.
Step-by-step explanation:
To simplify the expression (x + 3)(x - 5) / (x(x - 2)), we need to multiply the factors in the numerator and distribute them over the denominator. This will give us x^2 - 5x + 3x - 15 / x(x - 2). Simplifying further, we have x^2 - 2x - 15 / x(x - 2). Therefore, the simplified form is option a) x^2 - 5x + 10.