How do you add variables?

Question

For example, xy + xy, what do you do? Is the answer 2xy or x^2y^2 or what? I don't remember how to do this..

Answer 1

Add xy + xy

*We know the sign is addition so, we will add the coefficients/numbers that are placed in front of the variables/letters.

1xy + 1xy = 2xy

Answer 2

xy + xy = 2xy in case of addition. This is because the co-efficient of a variable when not written is taken as 1. Therefore in the above problem we can say 1xy + 1xy = 2xy.

Now if we were to mulitply the same problem then the answer would be x^2y^2 or (xy)^2. As u will be knowing the basic princile behind this is when basis are same powers are added. In this case powers of both the variables are taken as 1since no other number is specified exponentially.

Answer 3

2 times xy = xy + xy = 2xy

Answer 4

When adding say, xy+xy, you simply add their coefficients. The answer is 2xy.
However, you cannot add xy to x^2y, because they are not the same. Your answer here would simply be xy+x^2y.

Answer 5

xy + xy = 2xy

Don't make it complicated. If you have x times y (which is what xy means) and you add it to x times y you have twice as much. You always multiply before adding.

Answer 6

xy+xy = 2xy
x+x+x+x+5x = 9x
x+z= x+z
a^2 +2a^2 = 3a^2
a + (-a) = 0
a - (-a) = 2a
Dooes this bring back memories?

Answer 7

2xy because it is really 1xy + 1xy

If you multiplied them then it would be x^2y^2

Answer 8

2xy