A teacher did this problem with us in class but I dontn get it please explain.
2xy + 6
-------
3y + 4x
To solve this problem, we need to simplify the given expression.
The expression is:
(2xy + 6) / (3y + 4x)
To simplify, we can start by factoring out common factors from both the numerator and denominator. In this case, we can factor out 2 from the numerator and 4 from the denominator because both terms have those factors:
(2 * (xy + 3)) / (4x + 3y)
Now, let's rearrange the terms in the denominator to make it easier to factor. We'll rewrite the expression as:
(2 * (xy + 3)) / (3y + 4x)
Next, let's divide each term in the numerator and denominator by the greatest common divisor of all the terms. The greatest common divisor of 2 and (xy + 3) is 1, so we can simplify further:
(2 * (xy + 3)) / (3y + 4x)
At this point, the expression cannot be simplified any further. So, the simplified expression is:
(2 * (xy + 3)) / (3y + 4x)
I hope this helps clarify the problem. If you have any further questions, please let me know!