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anonymous
 one year ago
Find the sum and simplify and show all work and steps please..will give medals!!
2x/( x^2x12) + 3/ (x^2+4x+3)
anonymous
 one year ago
Find the sum and simplify and show all work and steps please..will give medals!! 2x/( x^2x12) + 3/ (x^2+4x+3)

This Question is Closed

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Factor both denominators for the first step

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1What are the factors of x^2x12 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have no idea. Im very confused with this question

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Think of two numbers whose product is 12

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1When you add the two numbers, you have to get 1 so think of some more possibilities.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.14+(3)=1 The sum must be 1

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So now you have factored the first denominator. Try the second one.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0X^2+4x+3 = (x+3)(x+1)

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So now we have this problem: \[\frac{2x}{(x4)(x+3)}+\frac{3}{(x+1)(x+3)}\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Now we have to get the common denominator so we can add the two fractions.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1For the first denominator we need the factors (x4)(x+3) For the second denominator we need the factors (x+1)(x+3)

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So the factors we need are (x4) and (x+3) and (x+1) and that is the common denominator. Are you with me so far?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So the first fraction will have to be multiplied by (x+1)/(x+1) to get the denominator right.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1The second fraction will have to be multiplied by (x4)(x4) to get the denominator right. Do you agree?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{2x}{(x4)(x+3)}\times \frac{(x+1)}{(x+1)} + \frac{3}{(x+1)(x+3)}\times \frac{(x4)}{(x4)}\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So now if we do the multiplication we have:

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{2x^2+2x+3x12}{(x+1)(x+3)(x4)}\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So let's add the like terms and finish up.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{2x^2+5x12}{(x+1)(x+3)(x4)}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that the final answer?? It doesnt simplify down anymore??

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1You could try to factor the numerator but I don't think it will factor. Are there factors of 24 whose sum is 5?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I dont think so. The correct answer would be 2x^2+5x12 / (x+1)(x+3)(x4) ?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Oh it will factor. The factors are (2x3)(x+4)

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So now we have: \[\frac{(2x3)(x+4)}{(x+1)(x+3)(x4)}\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1But there are no common factors to cancel so our answer is correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the (2x3)(x+4) and so on the correct answerr??

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1The answer is: \[\frac{2x^2+5x12}{(x+1)(x+3)(x4)} or \frac{(2x3)(x+4)}{(x+1)(x+3)(x4)}\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1because they are two forms of the same answer

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1So you can take your pick.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay i understand (: thank you so much!
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