What Should Be Taken Away from 3x2 - 4y2 + 5xy + 20 to Obtain - X2 - Y2 + 6xy + 20?

What should be taken away from 3x² - 4y² + 5xy + 20 to obtain - x² - y2 + 6xy + 20?

Let p be the required term.

(3x² - 4y² + 5xy + 20) - p = - x² - y² + 6xy + 20

p = (3x² - 4y² + 5xy + 20) - (- x² - y² + 6xy + 20)

= 3x² - 4y² + 5xy + 20 + x² + y² - 6xy - 20

= 3x² + x² - 4y² + y² + 5xy - 6xy + 20 - 20

= 4x² - 3y² - xy

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