Question

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

Answer 1

Step-by-step explanation:

x²+2xy-y² should be added to x²+xy+y² to obtain 2x²+3xy.

Let A = x²+xy+y²,

B = 2x²+3xy ,

Let m should be added to A to obtain B.

=> m = (2x²+3xy) - (x²+xy+y²)

= 2x²+3xy-x²-xy-y²

= 2x²-x²+3xy-xy-y²

= x²+2xy-y²

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Answer 2

answer:

$x {}^{2} + 2xy - y {}^{2}$