add & simplify 2x+6/(x+3)^2 + x/x+3.
a: 3x+6/(x+3)^2
b: x+2/x+3
c: x+2/(x+3)^2
d: 2/3

Question

add & simplify 2x+6/(x+3)^2 + x/x+3.
a: 3x+6/(x+3)^2
b: x+2/x+3
c: x+2/(x+3)^2
d: 2/3

anonymous · Answer

@agent0smith @kelliegirl33 @Compassionate @charlotte123 please help!!!!!

anonymous · Answer

$$ \frac{(2x+6)}{(x+3)^2} + \frac{x}{(x+3)}$$

So can you factor anything out of the 2x+6?

anonymous · Answer

x and 3?

anonymous · Answer

Yup yup!  So then you have

$$ \frac{2(x+3)}{(x+3)^2} + \frac{x}{(x+3)}$$
What else can you do to that first term?

anonymous · Answer

can u cancel out the (x+3) in the numerator and denominator?

anonymous · Answer

You absolutely can ^_^

So that leaves you with 

$$ \frac{2}{(x+3)} + \frac{x}{(x+3)}$$

Now the two terms have the same denominator, so what can you do to them?

anonymous · Answer

is the answer x+2/x+3?

anonymous · Answer

correct! ^_^

anonymous · Answer

yay! thank you!!!!!!

anonymous · Answer

Nice job ^_^  Welcome.