6x²y³ + 9x²y³ 15x²y³

------------- = ----------
3x²y² 3x²y²
= (15/3) (x²/x²) (y³/y²) = 5y

Just want it to know if is correct, but don't y³ + y³ = 2y³? I'm confused now. Can someone please help?

yes, the answer is 5y and
yes, y³ + y³ = 2y³
but where did this last part enter the picture?

someone ask me where they came from and he was saying that I was wrong; and now I have my doubts, and it confused me. I thought I had it right. I don't know how to break it down for a better understanding, I had help with the problem. Please help

I'll be happy to help clarify things for you! Let's break down the problem step by step to better understand it.

The original problem is:

(6x²y³ + 9x²y³) / (3x²y²)

To simplify this expression, we can start by factoring out the common terms in the numerator and denominator. In this case, we see that both terms in the numerator have a common factor of x²y³, and both terms in the denominator have a common factor of x²y².

So, factoring out those common terms, we get:

(6x²y³ + 9x²y³) / (3x²y²) = (3x²y² * (2y + 3y)) / (3x²y²)

Now, we can simplify further by canceling out the common factors in the numerator and denominator:

= (2y + 3y) / 1

= 5y / 1

= 5y

So, the final answer is indeed 5y.

It seems there was confusion when someone mentioned y³ + y³ = 2y³. This statement is true, but it is unrelated to the original problem. In the original problem, we were dealing with the terms 6x²y³ and 9x²y³, which have different coefficients (6 and 9). Therefore, we cannot simply add their exponents like we would with the same base and exponent.

I hope this explanation clears up any doubts or confusion you had. Let me know if you have any further questions!