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Add the Following Algebraic Expression: 4xy2 − 7x2y, 12x2y − 6xy2, − 3x2y +5xy2 - Mathematics

Answer in Brief

Add the following algebraic expression:

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

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Solution

To add, we proceed as follows:

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

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

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

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

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.2 | Q 1.3 | Page 5
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