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

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

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0so would it become \[\frac{ x ^{2} + 5x + 6 }{ x ^{2}  9 }\] @Hero

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

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0This isn't a multiple choice problem

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

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

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0Okay, then what would I do?

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

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since 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)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since 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).

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0Okay, I get you so far

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Then multiply out the numerator of the left fraction (x + 3)(x  2)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1359654823726:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1359654885990:dw

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0What did you do here?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since 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.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I multiplied out the left numerator and I added the right numerator, and set the whole thing over the common denominator.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now combine like terms on the numerator.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Then try factoring the numerator.

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0When I combine like terms I got \[\frac{ x ^{2} + 11x  6 }{ (x+3)(x3) }\]

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. The last step is to try to factor the numerator to see if you can simplify the fraction.

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0I can't figure out how to factro this, nothing I can find will come up with both 11 and 6

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This 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.

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0Okay, What would the restrictions be then ? @mathstudent55

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0Would the answer be with the denominator factored or can I put x^2  9 ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The 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.

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0Okay thank you..so the answer woould be \[\frac{ x ^{2} + 11x  6 }{ (x + 3)(x  3) } ; x \neq 3, 3\] @mathstudent55

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0Or would I put x^2  9 as the denominator ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You can leave the denominator factored. It's perfectly acceptable. It's also fine to multiply it out. Either way is good.

angelwings996
 one year ago
Best ResponseYou've already chosen the best response.0Okay, thank you so much for your help ! (:
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