Add the following expressions: p² - 7pq - q² and - 3p² - 2pq + 7q²

Solution:

Given, the expressions are p² - 7pq - q² and - 3p² - 2pq + 7q²

We have to add the expressions

On adding the expressions,

= p² - 7pq - q² + (- 3p² - 2pq + 7q²)

By combining like terms,

= p² - 3p² - 7pq - 2pq - q² + 7q²

By distributive property,

= (1 - 3)p² + (-7 - 2)pq + (7 - 1)q²

= (-2)p² + (-9)pq + (6)q²

= -2p² - 9pq + 6q²

Therefore, the sum of the expressions is -2p² - 9pq + 6q².

✦ Try This: Add the following expressions: 3p² - 9pq - 2q² and -4p² - 3pq + 6q²

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 57 (a)

Add the following expressions: p² - 7pq - q² and - 3p² - 2pq + 7q²

Summary:

On adding the expressions p² - 7pq - q²² and - 3p² - 2pq + 7q², we get -2p² - 9pq + 6q²

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