Question

Express in simplest form:

3x + 6y
-------
3x + 3y

Answer 1

To Undo the bottom part you need to multiply by it opposite sign.
3x+6y 3x-3
------ * -----
3x+3 3x-3
Can you try to solve this?

Answer 2

its*

Answer 3

Can you explain further? I think I have it from here. Thanks. By "opposite sign" you mean?

Answer 4

no need to do that, just factor 3 from each expression and cancel

Answer 5

@Jim, so

3x + 6 y
--------
3x + 3y

3y?

Answer 6

not quite bryce101

Answer 7

@jim_thompson5910 That is true but not all problems can be solve "nice and easy"
@Bryce101 this should help you. http://www.purplemath.com/modules/radicals4.htm
It's a theorem call multiply by its conjugates to make the problem more simple.

Answer 8

3x + 6 y = 3(x+2y)

and

3x+3y = 3(x+y)


Does that help?

Answer 9

Yes thank you both! :)

Answer 10

@Bryce101 Do you have the Answer? What does it mean to Express in the Simplest form?

Answer 11

So you should get \[\Large \frac{x+2y}{x+y}\] as your final answer.