Question

What should be taken away from
$3 {x}^{2} - 4 {y}^{2} + 5xy + 20$
to obtain
${ - x}^{2} - {y}^{2} + 6xy + 20$
{Please} {Tell} {It} {Fast}



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Answer 1

check the attachment

Answer 2

let the required polynomial be a

$3 {x}^{2} - 4 {y}^{2} + 5xy + 20 - a = - {x}^{2} - {y}^{2} + 6xy + 20 \\ a = 3 {x}^{2} + {x}^{2} - 4 {y}^{2} + {y}^{2} + 5xy - 6xy + 20 - 20 \\ \bold{\huge{\purple{a = 4 {x}^{2} - 3 {y}^{2} - xy }}}$

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