Final answer:
To solve the expression (4(3w+7)(w+4))/(28(w-5)(3w+7)), simplify by canceling out common terms and then dividing the numerator and denominator.
Step-by-step explanation:
To solve the expression (4(3w+7)(w+4))/(28(w-5)(3w+7)), we can start by simplifying the expression. The 3w+7 term in the numerator and denominator can be canceled out, leaving us with (4(w+4))/(28(w-5)). Next, we can simplify further by dividing both the numerator and denominator by 4. This gives us (w+4)/(7(w-5)). And that is the simplified form of the expression.