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प्रश्न
Simplify the following:
\[\frac{11}{2} x^2 y - \frac{9}{4}x y^2 + \frac{1}{4}xy - \frac{1}{14} y^2 x + \frac{1}{15}y x^2 + \frac{1}{2}xy\]
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उत्तर
\[ \frac{11}{2} x^2 y - \frac{9}{4}x y^2 + \frac{1}{4}xy - \frac{1}{14} y^2 x + \frac{1}{15}y x^2 + \frac{1}{2}xy\]
\[= \frac{11}{2} x^2 y + \frac{1}{15}y x^2 - \frac{9}{4}x y^2 - \frac{1}{14} y^2 x + \frac{1}{4}xy + \frac{1}{2}xy\] (Collecting like terms)
= \[\left( \frac{165 + 2}{30} \right) x^2 y + \left( \frac{- 63 - 2}{28} \right)x y^2 + \left( \frac{1 + 2}{4} \right)xy\]
\[= \frac{167}{30} x^2 y - \frac{65}{28} y^2 x + \frac{3}{2}xy\] (Combining like terms)
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