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Singlemom76
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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
 10 months ago
 10 months ago
Singlemom76 Group Title
Hey everyone back to school can someone help with this problem (x+2)^1/2 (2x+4)+(x+2)^3/2
 10 months ago
 10 months ago

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alffer1 Group TitleBest ResponseYou've already chosen the best response.0
Are you supposed to simplify the problem?
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
ok look at the parentheses on the left. Can you pull out any common factors?
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
oh oops I mean one in the middle.
 10 months ago

Singlemom76 Group TitleBest ResponseYou've already chosen the best response.0
ok but what do I do with those darn exponents. LOL
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
just a sec, I'm working it out. will explain as soon as I'm done.
 10 months ago

alffer1 Group TitleBest 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?
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
So now can you see any terms that can be pulled out of the addition?
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
actually first: can you simplify the left side of the addition at all?
 10 months ago

Singlemom76 Group TitleBest 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
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
notice that both have a base of (x+2). What does that mean about the exponents?
 10 months ago

Singlemom76 Group TitleBest ResponseYou've already chosen the best response.0
yea I'm sorry not a clue. Ugh Christmas break ruined me
 10 months ago

alffer1 Group TitleBest 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.....
 10 months ago

Singlemom76 Group TitleBest 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
 10 months ago

alffer1 Group TitleBest 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?
 10 months ago

Singlemom76 Group TitleBest ResponseYou've already chosen the best response.0
ok oops thats what I meant. But didn't the () exponent go to the denominator
 10 months ago

alffer1 Group TitleBest 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.
 10 months ago

Singlemom76 Group TitleBest ResponseYou've already chosen the best response.0
ok then what do I do?
 10 months ago

alffer1 Group TitleBest 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.
 10 months ago

alffer1 Group TitleBest 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.
 10 months ago

Singlemom76 Group TitleBest ResponseYou've already chosen the best response.0
so my final answer should be (x+2)^1/2 + (x+4)
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
oh wait no. They're multiplied, not added.
 10 months ago

Singlemom76 Group TitleBest ResponseYou've already chosen the best response.0
ok thanks (feel like an idiot) lol
 10 months ago

alffer1 Group TitleBest ResponseYou've already chosen the best response.0
no problem!
 10 months ago
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