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

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alffer1Best ResponseYou've already chosen the best response.0
Are you supposed to simplify the problem?
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
ok look at the parentheses on the left. Can you pull out any common factors?
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
oh oops I mean one in the middle.
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
ok but what do I do with those darn exponents. LOL
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
just a sec, I'm working it out. will explain as soon as I'm done.
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
ok here goes: Pulling out the common 2, you get: 2(x+2)(x+2)^1/2 + (x+2)^3/2 right?
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
So now can you see any terms that can be pulled out of the addition?
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
actually first: can you simplify the left side of the addition at all?
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
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
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
notice that both have a base of (x+2). What does that mean about the exponents?
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
yea I'm sorry not a clue. Ugh Christmas break ruined me
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
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.....
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
I am so sorry and feel like an idiot right now. I get that the exponents are multiplied
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
exponents should be added. In this case 11/2 = 1/2. As a result: you get 2(x+2)^1/2 + (x+2)^3/2 right?
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
ok oops thats what I meant. But didn't the () exponent go to the denominator
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
you can do that too, but in this case it's simply easier to add up the exponents, eliminating the denominator altogether.
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
ok then what do I do?
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
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.
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
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.
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
so my final answer should be (x+2)^1/2 + (x+4)
 3 months ago

alffer1Best ResponseYou've already chosen the best response.0
oh wait no. They're multiplied, not added.
 3 months ago

Singlemom76Best ResponseYou've already chosen the best response.0
ok thanks (feel like an idiot) lol
 3 months ago
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