Answer in Brief

Add the following algebraic expression:

4xy^{2} − 7x^{2}y, 12x^{2}y − 6xy^{2}, − 3x^{2}y +5xy^{2}

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#### Solution

To add, we proceed as follows:

\[\left( 4 {xy}^2 - 7 x^2 y \right) + \left( 12 x^2 y \right) + \left( - 6 {xy}^2 \right) + \left( - 3 x^2 y + 5 {xy}^2 \right)\]

\[ = 4 {xy}^2 - 7 x^2 y + 12 x^2 y - 6 {xy}^2 - 3 x^2 y + 5 {xy}^2 \]

\[ = 4 {xy}^2 - 6 {xy}^2 + 5 {xy}^2 - 7 x^2 y + 12 x^2 y - 3 x^2 y ( \text { Collecting like terms } )\]

\[ = 3 {xy}^2 + 2 x^2 y (\text { Combining like terms })\]

Concept: Addition of Algebraic Expressions

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