A) \[\left( \frac{x}{4}+\frac{y}{9} \right)\left( \frac{x}{4}-\frac{y}{9} \right)\]
B) \[\left( \frac{x}{2}+\frac{y}{9} \right)\left( \frac{x}{2}-\frac{y}{9} \right)\]
C) \[\left( \frac{x}{2}+\frac{y}{3} \right)\left( \frac{x}{2}-\frac{y}{3} \right)\]
D) Both (a) and (b)
Correct Answer: C
Solution :
We have, \[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}={{\left( \frac{x}{2} \right)}^{2}}-{{\left( \frac{y}{3} \right)}^{2}}\] \[=\left( \frac{x}{2}+\frac{y}{3} \right)\left( \frac{x}{2}-\frac{y}{3} \right)\]
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