Question

what should be added to x²+xy+y²to obtain 2×2+3×y?​

Answer 1

Answer:

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

Explanation:

Let A = x²+xy+y²,

B = 2x²+3xy ,

Let m should be added to A to obtain B

Now ,

m + A = B

=> m = B - A

=> m = (2x²+3xy) - (x²+xy+y²)

= 2x²+3xy-x²-xy-y²

= 2x²-x²+3xy-xy-y²

= x²+2xy-y²

Therefore,

m = x²+2xy-y²

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