## You're welcome! To continue simplifying the expression y = (x^5-32)/(x-2), you can use polynomial long division or synthetic division to divide the numerator (x^5 - 32) by the denominator (x - 2).

Here's how you can do it using polynomial long division:

Step 1: Start by dividing the first term of the numerator, which is x^5, by the first term of the denominator, which is x. This gives you x^4.

Step 2: Multiply x^4 by the denominator (x - 2), and subtract the result from the numerator (x^5 - 32). This will give you a new polynomial.

Step 3: Repeat steps 1 and 2 with the new polynomial until you've divided all the terms of the numerator.

Step 4: The result of the division will be the quotient, and any remaining terms will be the remainder.

In this case, when you divide x^5 - 32 by x - 2, you will find that the quotient is x^4 + 2x^3 + 4x^2 + 8x + 16, and there is no remainder.

So, the simplified form of y = (x^5 - 32)/(x - 2) is y = x^4 + 2x^3 + 4x^2 + 8x + 16.

I hope that helps! Let me know if you have any further questions.