Question

Add the following algebraic expression:

 4xy² − 7x²y, 12x²y − 6xy², − 3x²y +5xy²

Answer 1

To add, we proceed as follows:

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

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

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

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