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OpenStudy (anonymous):
Which of the following is not equivalent to the rational expression when x not equal to 7 ?
x^2-49/x-7
A. x-7
B. x+7/x-7
C. 1/x+7
D. x+7
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OpenStudy (misty1212):
HI!!
OpenStudy (misty1212):
a rather strangely worded question, which you can interpret as "factor and cancel"
does that help?
OpenStudy (anonymous):
not really because I suck at math honestly and hi haha
OpenStudy (misty1212):
lol ok lets do it then
factor the top, which is \(x^2-49\) the "difference of two squares"
\[a^2-b^2=(a+b)(a-b)\] always, so
\[x^2-49=(x+7)(x-7)\]
OpenStudy (anonymous):
which of the following is equal to the rational expression when x not equal to 7............ I TYPED THE QUESTION WRONG!!!
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OpenStudy (misty1212):
i knew that since 3 of them are NOT and only one of them IS
OpenStudy (anonymous):
yes... sorry
OpenStudy (misty1212):
since the numerator is \((x+7)(x-7)\) the entire fraction is
\[\frac{(x+7)(x-7)}{x-7}\] now cancel
OpenStudy (anonymous):
x+7?
OpenStudy (misty1212):
you know what i mean by that?
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OpenStudy (misty1212):
yeah you get \(x+7\)
OpenStudy (anonymous):
thank you
OpenStudy (misty1212):
\[\color\magenta\heartsuit\]
OpenStudy (anonymous):
:)
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