Adding the given algebraic expressions by taking like terms will give us: 4x² - 6y² + 5.
To add or subtract one algebraic expressions from the other, simply take like terms together.
Given the algebraic expressions:
3x² + xy - y² - 6x² - 4y²
2xy + y²
7x² - 3xy - 2y² + 5
If we are to add all together, we would get the following:
(3x² + xy - y² - 6x² - 4y²) + (2xy + y²) + (7x² - 3xy - 2y² + 5)
Open bracket and add like terms together
-3x² - 5y² + xy + 2xy + y² + 7x² - 3xy - 2y² + 5
4x² - 6y² + 5
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