SUBTRACTION OF POLYNOMIALS

(4-5Y+Y^3)-(2-3Y+Y^2)

don't switch names, stick with JORGE

so what do you think?
What are your steps?

MY ANSWER WAS 2-2y+y^3-y^2

I was just trying to see if it was right!!

Your answer is correct.

Your post was identical in structure and appearance to that of JORGE,
you even capitalized your names, which not too many people do.
I reached a logical conclusion.

WRONG CONCLUSION. SORRY..

To subtract polynomials, we need to combine like terms by subtracting the coefficients of the corresponding powers of the variables. Let's break down the given expression step by step:

Expression: (4 - 5Y + Y^3) - (2 - 3Y + Y^2)

Step 1: Distribute the subtraction sign to all the terms inside the parentheses on the right side.
= 4 - 5Y + Y^3 - 2 + 3Y - Y^2

Step 2: Rearrange the terms to group the like terms together.
= (4 - 2) + (-5Y + 3Y) + (Y^3 - Y^2)

Step 3: Combine the like terms by adding or subtracting their coefficients.
= 2 - 2Y + (Y^3 - Y^2)

So, the simplified expression becomes 2 - 2Y + Y^3 - Y^2.