Hey everyone back to school can someone help with this problem (x+2)^-1/2 (2x+4)+(x+2)^3/2

- anonymous

Hey everyone back to school can someone help with this problem (x+2)^-1/2 (2x+4)+(x+2)^3/2

- katieb

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

Are you supposed to simplify the problem?

- anonymous

Yes

- anonymous

ok look at the parentheses on the left. Can you pull out any common factors?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

oh oops I mean one in the middle.

- anonymous

ok but what do I do with those darn exponents. LOL

- anonymous

just a sec, I'm working it out. will explain as soon as I'm done.

- anonymous

ok here goes:
Pulling out the common 2, you get: 2(x+2)(x+2)^-1/2 + (x+2)^3/2 right?

- anonymous

ok

- anonymous

So now can you see any terms that can be pulled out of the addition?

- anonymous

actually first: can you simplify the left side of the addition at all?

- anonymous

the (x+2)^-1/2 goes to the bottom and the 2 can be factored from the (2x+4) leaving 2(x+2) over (x+2)^1/2

- anonymous

notice that both have a base of (x+2). What does that mean about the exponents?

- anonymous

yea I'm sorry not a clue. Ugh Christmas break ruined me

- anonymous

When the bases are equal, 2 multiplied exponents can be added. for example: 2^2 * 2^3 = 2^5. In this case, the base is (x+2) and the exponents are 1 and -1/2. soo.....

- anonymous

I am so sorry and feel like an idiot right now. I get that the exponents are multiplied

- anonymous

exponents should be added. In this case 1-1/2 = 1/2. As a result:
you get 2(x+2)^1/2 + (x+2)^3/2 right?

- anonymous

ok oops thats what I meant. But didn't the (-) exponent go to the denominator

- anonymous

you can do that too, but in this case it's simply easier to add up the exponents, eliminating the denominator altogether.

- anonymous

ok then what do I do?

- anonymous

Now you have a common term of (x+2)^1/2 that you can pull out of both terms in the addition. It's like the opposite of the distributive property.

- anonymous

Doing that, you get (x+2)^1/2 times(2 + x + 2), which simplifies to (x+4)(x+2)^1/2. and you're done.

- anonymous

so my final answer should be (x+2)^1/2 + (x+4)

- anonymous

yup! :)

- anonymous

oh wait no. They're multiplied, not added.

- anonymous

ok thanks (feel like an idiot) lol

- anonymous

no problem!

Looking for something else?

Not the answer you are looking for? Search for more explanations.