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Question

What should be taken away from 3x24y2+5xy+20 get x2y2+6xy+20.

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Solution

Given 3x24y2+5xy+20
Required x2y2+6xy+20

Let the necessary cutoff expression be a.

Then,
3x24y2+5xy+20a=x2y2+6xy+20a=3x24y2+5xy+20+x2+y26xy20=x2(3+1)+y2(4+1)+xy(56)+2020=4x23y2xy

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