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Mathematics 30 Online
OpenStudy (anonymous):

http://media01.switchedononline.com/g_alg01_2011/13/img_final1_problem81.gif Reduce the fraction to lowest terms.

OpenStudy (ash2326):

\[\frac{x^2-4x+4}{x^2-4}\] @Hpbbby what do you think we should do? Do you have any ideas?

OpenStudy (anonymous):

factor?

OpenStudy (ash2326):

Yeah, the numerator, it's of the form \(a^2-2ab+b^2\) which is the expansion of \((a-b)^2\), Now use this to rewrite the numerator, will you?

OpenStudy (anonymous):

x-2^2

OpenStudy (ash2326):

Good, now the denominator is of the form \(a^2-b^2\) which can be rewritten as \((a+b)(a-b)\), use it to simplify the denominator, would you?

OpenStudy (anonymous):

(x-2)(x+2)

OpenStudy (anonymous):

x-2/x+2

OpenStudy (ash2326):

Yeah, that's correct Good work @Hpbby :D

OpenStudy (anonymous):

Thanks and TThanks for your help!

OpenStudy (ash2326):

Welcome:D

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