Add
4x² - 5xy + 3y²
8x²+7xy + 6y²
-2x²-9xy +13y²
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Question-
Add-
(4x² - 5xy + 3y²) + (8x²+7xy + 6y²) + (-2x²-9xy +13y²)
Answer-
The trick to solving this question is to add up all the like terms.
(4x² - 5xy + 3y²) + (8x² + 7xy + 6y²) + (-2x² - 9xy + 13y²)
= 4x² - 5xy + 3y² + 8x²+ 7xy + 6y² - 2x²- 9xy + 13y²
= 4x² + 8x² - 2x² - 5xy + 7xy - 9xy + 3y² + 6y² + 13y²
= (4x² + 8x² - 2x²) + (- 5xy + 7xy - 9xy) + (3y² + 6y² + 13y²)
= (12x² - 2²) + (7xy - 14xy) + (22y²)
= 10x² - 7xy + 22y²
The required polynomial is 10x² - 7xy + 22y²
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