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Algebra 2 help please!?
Simplify the sum. State any restrictions on the variables.
 one year ago
 one year ago
Algebra 2 help please!? Simplify the sum. State any restrictions on the variables.
 one year ago
 one year ago

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HeroBest ResponseYou've already chosen the best response.1
Hint: Multiply the first fraction by (x  3)/(x3)
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
so would it become \[\frac{ x ^{2} + 5x + 6 }{ x ^{2}  9 }\] @Hero
 one year ago

phiBest ResponseYou've already chosen the best response.0
are you posting one of the multiple choices ?
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
This isn't a multiple choice problem
 one year ago

phiBest ResponseYou've already chosen the best response.0
you have the wrong sign on 5x
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Actually the numerator should be x^2  5x + 6
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
Okay, then what would I do?
 one year ago

phiBest ResponseYou've already chosen the best response.0
once you have a common denominator, you can combine the tops
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
Since you are adding fractions, you need a common denominator. The denominator of the left fraction is simply x + 3. You need to factor the denominator of the right fraction. x^2  9 = (x + 3)(x  3)
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
Since the right denominator has factors (x + 3)(x  3) and the left fraction only has (x + 3), you need to multiply the numerator and denominator of the left fraction by (x  3).
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
Okay, I get you so far
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
Then multiply out the numerator of the left fraction (x + 3)(x  2)
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
dw:1359654823726:dw
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
dw:1359654885990:dw
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
What did you do here?
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
Since both fractions now have the same denominator, you can write them as a single fraction over the common denominator. Now combine like terms in the numerator.
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
I multiplied out the left numerator and I added the right numerator, and set the whole thing over the common denominator.
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
Now combine like terms on the numerator.
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
Then try factoring the numerator.
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
When I combine like terms I got \[\frac{ x ^{2} + 11x  6 }{ (x+3)(x3) }\]
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
Correct. The last step is to try to factor the numerator to see if you can simplify the fraction.
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
I can't figure out how to factro this, nothing I can find will come up with both 11 and 6
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
This kind of factoring involves finding two numbers that multiply to 6 and add to 11. There aren't any, so it can't be factored, and the addition is finished.
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
Okay, What would the restrictions be then ? @mathstudent55
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
Would the answer be with the denominator factored or can I put x^2  9 ?
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
The restrictions are any values of x that would make the denominator zero. Since the denominator is x^2  9 which you know factors into (x + 3)(x  3), set x + 3 = 0 and solve for x and set x  3 = 0 and solve for x. Those two x values are the restrictions.
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
Okay thank you..so the answer woould be \[\frac{ x ^{2} + 11x  6 }{ (x + 3)(x  3) } ; x \neq 3, 3\] @mathstudent55
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
Or would I put x^2  9 as the denominator ?
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.1
You can leave the denominator factored. It's perfectly acceptable. It's also fine to multiply it out. Either way is good.
 one year ago

angelwings996Best ResponseYou've already chosen the best response.0
Okay, thank you so much for your help ! (:
 one year ago
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