Question

simplify.
\frac{45(y - 4)(2y - 3)}{9(2y - 3)(y + 7)}
you may leave the numerator and deno

Explanation:

Step1: Cancel common factors (constants)

First, simplify the constant terms \(\frac{45}{9}\). Since \(45\div9 = 5\), we have \(\frac{45}{9}=5\).

Step2: Cancel common binomial factors

Next, cancel the common binomial factor \((2y - 3)\) from the numerator and the denominator (assuming \(2y-3
eq0\) to avoid division by zero). So we are left with \(5\) from the constant simplification and \((y - 4)\) in the numerator, and \((y + 7)\) in the denominator.

Step3: Combine the remaining terms

Putting it all together, the simplified form is \(\frac{5(y - 4)}{y + 7}\).

Answer:

\(\frac{5(y - 4)}{y + 7}\)