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

Answer 1

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

Answer 2

\[ \frac{(2x+6)}{(x+3)^2} + \frac{x}{(x+3)}\]

So can you factor anything out of the 2x+6?

Answer 3

x and 3?

Answer 4

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?

Answer 5

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

Answer 6

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?

Answer 7

is the answer x+2/x+3?

Answer 8

correct! ^_^

Answer 9

yay! thank you!!!!!!

Answer 10

Nice job ^_^ Welcome.