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Mathematics 15 Online
OpenStudy (anonymous):

How to solve? (4x^2 -12xy + 9y^2)/(9y^2 - 12xy + 4x^2)

OpenStudy (irishboy123):

1

OpenStudy (anonymous):

How do you get that though?

TheSmartOne (thesmartone):

\(\bf\huge~~~~\color{#ff0000}{W}\color{#ff2000}{e}\color{#ff4000}{l}\color{#ff5f00}{c}\color{#ff7f00}{o}\color{#ffaa00}{m}\color{#ffd400}{e}~\color{#bfff00}{t}\color{#80ff00}{o}~\color{#00ff00}{O}\color{#00ff40}{p}\color{#00ff80}{e}\color{#00ffbf}{n}\color{#00ffff}{S}\color{#00aaff}{t}\color{#0055ff}{u}\color{#0000ff}{d}\color{#2300ff}{y}\color{#4600ff}{!}\color{#6800ff}{!}\color{#8b00ff}{!}\\\bf ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Made~by~TheSmartOne\) Hey there!!! Since you are new here, read this legendary tutorial for new OpenStudiers!! http://goo.gl/5pp1u0 @Mahaleah97

OpenStudy (irishboy123):

swap the x^2 and y^2 terms around in either the numerator or the denominator.

TheSmartOne (thesmartone):

your question is: \(\sf\Huge \frac{4x^2 -12xy + 9y^2}{9y^2 - 12xy + 4x^2}\)

TheSmartOne (thesmartone):

If we rearrange the terms in the numerator, we get \(\sf\Huge \frac{9y^2 - 12xy + 4x^2}{9y^2 - 12xy + 4x^2}\)

TheSmartOne (thesmartone):

And wouldn't you agree that if the numerator and the denominator both have the same thing, that it would equal to 1?

OpenStudy (anonymous):

yes thank you

TheSmartOne (thesmartone):

Anytime (:

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