Question

The sum of two expressions is 3x²+2xy-y². If one of them is 2x²+3y², find the other. *

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Answer 1

AnswEr :-

• The other expression is x² - 4y² + 2xy.

Given :-

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

To Find :-

• The other one.

SoluTion :-

Here,

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

Other one :-

sum of two expressions - one of them

→ 3x² + 2xy - y² - (2x² + 3y²)

→ 3x² + 2xy - y² - 2x² - 3y²

[ re arrange the like terms ]

→ 3x² - 2x² - y² - 3y² + 2xy

→ x² - 4y² + 2xy

Hence, the other expression is x² - 4y² + 2xy.

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