What is the least common denominator of the expression below?
g^2 / 9 - g^2 + 14 + g / 24g + 8g^2
a. (3 + g)
b. 7g^2 + 24g + 9
c. 8g(3 - g)
d. 8g(3 + g)(3 - g)
help me please :)
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OpenStudy (anonymous):
well..."Common" Denominator just means that the denominators
in two (or more) fractions are common, or the same.
OpenStudy (anonymous):
is it D?
OpenStudy (anonymous):
yeah i think you may be right on this one
OpenStudy (anonymous):
i got d
OpenStudy (anonymous):
alright
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jimthompson5910 (jim_thompson5910):
\[\Large \frac{g^2}{9-g^2} + \frac{14+g}{24g + 8g^2}\]
\[\Large \frac{g^2}{3^2-g^2} + \frac{14+g}{24g + 8g^2}\]
\[\Large \frac{g^2}{(3+g)(3-g)} + \frac{14+g}{24g + 8g^2}\]
\[\Large \frac{g^2}{(3+g)(3-g)} + \frac{14+g}{8g(3 + g)}\]
I'll let you finish up
OpenStudy (anonymous):
8g :d?
OpenStudy (anonymous):
can i get a medal
OpenStudy (anonymous):
so A ??? im so confused now xD
jimthompson5910 (jim_thompson5910):
you were right the first time
it's best to go with your gut feeling sometimes
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jimthompson5910 (jim_thompson5910):
look at the factors in the denominators
and focus on the unique factors
OpenStudy (anonymous):
true that
OpenStudy (anonymous):
but its least common, and 3 + g are very common lol
how is it D?
jimthompson5910 (jim_thompson5910):
the unique factors are: (3+g), (3-g), and 8g
multiply them to get 8g(3+g)(3-g)
jimthompson5910 (jim_thompson5910):
(3+g) is a factor, but it's not the whole LCD
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