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Problem Solving (PS) | Suppose x = a/b (b≠0). Which of following is equivalent to (a2+ab) / (

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philipssonicare wrote:

GMATGuruNY great explanation

Could someone please decipher what MathRevolution has done?

Surely this is not a sub-600 question


philipssonicare they divided the numerator and denominator with\(b^2\) .
It is valid since\(b \neq 0\) .

Following is a more legible solution.

\( \begin{alignat}{2}
&&\cfrac{a^2+ab}{a^2+b^2} \\
&= & \frac{\left(\frac{a^2 + ab}{b^2}\right)}{\left(\frac{a^2 + b^2}{b^2}\right)} \\
&= & \frac{\left(\frac{a^2}{b^2}\right)+\left(\frac{ab}{b^2}\right)}{\left(\frac{a^2}{b^2}\right)+\left(\frac{b^2}{b^2}\right)}\)
...

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