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Add the Following Algebraic Expression: 11 2 X Y + 12 5 Y + 13 7 X , − 11 2 Y − 12 5 X − 13 7 X Y - Mathematics

Answer in Brief

Add the following algebraic expression:

\[\frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x, - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]

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Solution

To add, we proceed as follows:

\[\left( \frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x \right) + \left( - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy \right)\]

\[ = \frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]

\[ = \frac{11}{2}xy - \frac{13}{7}xy + \frac{12}{5}y - \frac{11}{2}y + \frac{13}{7}x - \frac{12}{5}x ( \text { Collecting like terms })\]

\[ = \frac{51}{14}xy - \frac{31}{10}y - \frac{19}{35}x (\text { Combining like terms })\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.2 | Q 1.5 | Page 5
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