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प्रश्न
Add the following algebraic expression:
4xy2 − 7x2y, 12x2y − 6xy2, − 3x2y +5xy2
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उत्तर
To add, we proceed as follows:
\[\left( 4 {xy}^2 - 7 x^2 y \right) + \left( 12 x^2 y \right) + \left( - 6 {xy}^2 \right) + \left( - 3 x^2 y + 5 {xy}^2 \right)\]
\[ = 4 {xy}^2 - 7 x^2 y + 12 x^2 y - 6 {xy}^2 - 3 x^2 y + 5 {xy}^2 \]
\[ = 4 {xy}^2 - 6 {xy}^2 + 5 {xy}^2 - 7 x^2 y + 12 x^2 y - 3 x^2 y ( \text { Collecting like terms } )\]
\[ = 3 {xy}^2 + 2 x^2 y (\text { Combining like terms })\]
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