PERT Practice Test 2025 – Complete Guide for Exam Prep

To find the result of dividing the expression \(9x^2y - 12xy^2 + 3xy\) by \(3xy\), it's beneficial to break down the process step by step.

First, we can distribute the division across the terms in the polynomial. This involves dividing each term in the numerator by \(3xy\):

1. For the first term \(9x^2y\):

\[

\frac{9x^2y}{3xy} = 3x

\]

Simplifying this gives \(3x\).

2. For the second term \(-12xy^2\):

\[

\frac{-12xy^2}{3xy} = -4y

\]

So, this simplifies to \(-4y\).

3. For the third term \(3xy\):

\[

\frac{3xy}{3xy} = 1

\]

Therefore, this simply gives \(1\).

Combining all these results yields:

\[

3x - 4y + 1

\]

This is a straightforward application of polynomial division where each term was managed separately, and upon combining, we