Question

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

Answer 1

Answer:

X^2+2xy-y^2

x^2+xy+y^2+another equation=2x²+3xy

2x^2+3xy-x^2+xy+y^2=X^2+2xy-y^2

Step-by-step explanation:

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Answer 2

= 2x2 + 3xy – (x2 + xy + y2) = 2x2 + 3xy – x2 – xy – y2 – 2x2 – x2 + 3xy – xy – y2 (re-arranging the terms)

∴ x2 + 2xy – y2 should be added to x2 + xy + y2 to get 2x2 + 3xy