Question

what should be added to x2+xy+y2 to obtain 2x2+ 3xy
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Answer 1

Answer:

First term = x2 + xy + y2

Final term = 2x2 + 3xy

Second term = Final term - First term

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

= 2x2 + 3xy - x2 - xy - y2

= x2 + 2xy - y2

Thus, the expression to be added is x2 + 2xy - y2

Answer 2

Answer:

x² + 2xy - y²

Step-by-step explanation:

First term = x2 + xy + y2

Final term = 2x2 + 3xy

Second term = Final term - First term

= 2x² + 3xy - (x² + xy + y²)

= 2x² + 3xy - x² - xy - y²

= x² + 2xy - y²

Thus, the expression to be added is x² + 2xy - y²