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

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

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

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

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

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

alffer1
 11 months ago
Best ResponseYou've already chosen the best response.0ok here goes: Pulling out the common 2, you get: 2(x+2)(x+2)^1/2 + (x+2)^3/2 right?

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

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

Singlemom76
 11 months ago
Best ResponseYou've already chosen the best response.0the (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

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

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

alffer1
 11 months ago
Best ResponseYou've already chosen the best response.0When 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.....

Singlemom76
 11 months ago
Best ResponseYou've already chosen the best response.0I am so sorry and feel like an idiot right now. I get that the exponents are multiplied

alffer1
 11 months ago
Best ResponseYou've already chosen the best response.0exponents 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?

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

alffer1
 11 months ago
Best ResponseYou've already chosen the best response.0you can do that too, but in this case it's simply easier to add up the exponents, eliminating the denominator altogether.

Singlemom76
 11 months ago
Best ResponseYou've already chosen the best response.0ok then what do I do?

alffer1
 11 months ago
Best ResponseYou've already chosen the best response.0Now 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.

alffer1
 11 months ago
Best ResponseYou've already chosen the best response.0Doing that, you get (x+2)^1/2 times(2 + x + 2), which simplifies to (x+4)(x+2)^1/2. and you're done.

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

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

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