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OpenStudy (anonymous):
(15/x^2+3x)+(3/x)+(5/x+3)
Simplify if possible
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OpenStudy (anonymous):
first, find the common denominator and multiply each term by the common denominator to rid off the fraction, then you can easily simplify it
OpenStudy (anonymous):
I got \[(8x^3+48x^2+74x)/((x+3)(x^3+3x^2))\]
OpenStudy (anonymous):
(x^2+14x+18)/(x^2+3x)
OpenStudy (anonymous):
how did you arrive to that answer
OpenStudy (anonymous):
right or wrong
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OpenStudy (mertsj):
\[\frac{15}{x(x+3)}+\frac{3}{x}+\frac{5}{x+3}\]
OpenStudy (mertsj):
\[\frac{15}{x(x+3)}+\frac{3(x+3)}{x(x+3)}+\frac{5x}{x(x+3)}\]
OpenStudy (mertsj):
Now, all the denominators are the same so we will simply add the numerators:
OpenStudy (mertsj):
\[\frac{15+3(x+3)+5x}{x(x+3)}=\frac{15+3x+9+5x}{x(x+3)}=\frac{8x+24}{x(x+3)}\]
OpenStudy (anonymous):
Thank you so much I greatly appreciate your help, you're the best.
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OpenStudy (mertsj):
yw
OpenStudy (anonymous):
good Mertsj
OpenStudy (mertsj):
Whoops. Not quite done:
\[\frac{8x+24}{x(x+3)}=\frac{8(x+3)}{x(x+3)}=\frac{8}{x}\]
OpenStudy (anonymous):
Good looking out =^^=
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