Add: 5x² - 3xy + 4y² - 9, 7y² + 5xy - 2x² + 13
Solution:
Given terms to add → 5x² - 3xy + 4y² - 9, 7y² + 5xy - 2x² + 13
⇒ 5x² - 3xy + 4y² - 9 + 7y² + 5xy - 2x² + 13
Grouping like terms
= 5x² - 2x² - 3xy + 5xy + 4y² + 7y² - 9 + 13
= 3x² + 2xy + 11y² + 4
✦ Try This: Add: 7a² - 10ab + 8b² - 25 , 17a² - ab - 9b² + 30, -a² + 15 ab + 15b² + 40
Given, terms to add → 7a² - 10ab + 8b² - 25 , 17a² - ab - 9b² + 30, -a² + 15 ab + 15b² + 40
⇒ (7a² - 10ab + 8b² - 25) + (17a² - ab - 9b² + 30) + (-a² + 15ab + 15b² + 40)
= 7a² + 17a² - a² - 10ab - ab + 15ab + 8b² - 9b² + 15b² - 25 + 30 + 40
= 23a² + 4ab + 14b² + 45
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9
NCERT Exemplar Class 8 Maths Chapter 7 Problem 81(iv)
Add: 5x² - 3xy + 4y² - 9, 7y² + 5xy - 2x² + 13
Summary:
Adding 5x² - 3xy + 4y² - 9, 7y² + 5xy - 2x² + 13 we get 3x² + 2xy + 11y² + 4
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