Can you show me an example of how to divide this? 4x^4y-8x^6y^2+12x^8y^6/4x^4y

Question

Divide and Check: 4x^4y-8x^6y^2+12x^8y^6/4x^4y Show step by step work. I need an example on how to do this please.

Answer 1

4x^4y - 8x^6y^2 + 12x^8y^6 / 4x^4y

First, look at the numbers that aren't exponents.  On top we have 4, 8, and 12.  On the bottom we have 4.  We can cancel 4's out of everything giving us this:

x^4y - 2x^6y^2 + 3x^8y^6 / x^4y

Next, look at the x's.  On top we have x^4, x^6, and x^8.  On the bottom we have x^4.  We can cancel an x^4 out of everything giving us this:

y - 2x^2y^2 + 3x^4y^6 / y

There's a y in everything, so we can cancel out a y, giving us this:

1 - 2x^2y + 3x^4y^5

That's it.  That's the answer.