I have two quantities, A and B. I need to know which is larger or whether they are equivalent.
Quantity A: X^2 + 2xy +y^2/x + y
Quantity B: x + y + 2
Note: X + Y does not equal zero.
I factored and I have x^2 + 2y for A, compared against x + y + 2 for B. My book says that quantity B is bigger. Why is this?
OK I think I might have made a mistake in factoring. In quantity, A, should x^2 still have the denominator of x + y? If this is so, by plugging in numbers, quantity does indeed prove to be bigger. So, I guess my question is when you cross out the x + y of the numerator after factoring, does the x^2 retain its denominator of x + y or does it also go?