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anonymous
 3 years ago
Hey everyone back to school can someone help with this problem (x+2)^1/2 (2x+4)+(x+2)^3/2
anonymous
 3 years 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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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Are you supposed to simplify the problem?

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh oops I mean one in the middle.

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

anonymous
 3 years 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.

anonymous
 3 years 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?

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

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

anonymous
 3 years 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

anonymous
 3 years 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?

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

anonymous
 3 years 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.....

anonymous
 3 years 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

anonymous
 3 years 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?

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

anonymous
 3 years 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok then what do I do?

anonymous
 3 years 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.

anonymous
 3 years 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.

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

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

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