Final answer:
To simplify the given function, we can factor the quadratic equation and cancel out any common factors between the numerator and the denominator.
Step-by-step explanation:
The given function is f(x) = (35x²-48x-27) / (7x+3) / 5(35x²-48x-27) / +3. To simplify this expression, we can start by factoring the quadratic 35x²-48x-27. We can then cancel out any common factors between the numerator and the denominator. Finally, we can simplify the expression by multiplying the remaining terms if possible.
Let's first factor the quadratic equation 35x²-48x-27. We can find two numbers whose product is -27 and sum is -48. After factoring, the equation becomes (5x+3)(7x-9).
Now, we can cancel out any common factors between the numerator and the denominator. In this case, we can cancel out (5x+3).
Learn more about Simplifying rational expressions