Simplify the sum. State any restrictions on the variables.
x-2/x+3+10x/x^2-9
Can someone pleasee help??!
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OpenStudy (tkhunny):
I'm going to guess what you mean. You ahve NOT written what I am about to write.
\(\dfrac{x-2}{x+3} + \dfrac{10x}{x^{2} - 9}\)
Give it another go. Remember you Order of Operations and use more parentheses.
Factor the denominators. Where are they zero?
OpenStudy (anonymous):
so i factor by the denominators?
OpenStudy (tkhunny):
You will need to do that in order to find the Common Denomiator.
OpenStudy (anonymous):
so how would i start that?
OpenStudy (tkhunny):
Is x + 3 factored?
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OpenStudy (anonymous):
uhh, yea?
OpenStudy (anonymous):
well the common factor would be 1?
OpenStudy (tkhunny):
There is no such factor.
Given x + 3 in the denominator, there are two terms, "x" and '3'. The only FACTOR is "x+3"
Is \(x^{2} - 9\) factored?
OpenStudy (anonymous):
ohh, no it's not
OpenStudy (tkhunny):
You will be factoring it, then. Identify the factors carefully.
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