Question

The sum of two algebraic expressions is 2x²- 3xy+ 5y². If one of them is x²+ 2xy- 3y², Find the other. PLS HELP ME WITH THIS
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Answer 1

Answer:

x²-5xy+8y²

Step-by-step explanation:

Let the other algebraic expression be x

Sum = 2x²- 3xy+ 5y²

x= 2x²- 3xy+ 5y² - (x²+ 2xy- 3y²)

x= 2x²- 3xy+ 5y²-x²-2xy +3y²

x= 2x²-x²- 3xy-2xy+ 5y²+3y²

x= x²-5xy+8y²

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Answer 2

Answer:

Given:-

• Sum of two algebraic expressions is 2x² - 3xy + 5y².
• One of them is x² + 2xy - 3y²

To find :-

• The other expressions.

Solution:-

=> (2x² - 3xy + 5y²) - (x² + 2xy - 3y²)

=> 2x² - 3xy + 5y² - x² - 2xy + 3y²

=> 2x² - x² - 3xy - 2xy + 5y² + 3y²

=> x² - 5xy + 8y²

Hence, the other algebraic expression is x² - 5xy + 8y².

Check:-

=> (x² + 2xy - 3y²) + (x² - 5xy + 8y²)

=> x² + 2xy - 3y² + x² - 5xy + 8y²

=> x² + x² + 2xy - 5xy + 8y² - 3y²

=> 2x² - 3xy + 5y²