What must be added to $2x^2-5xy+3y^2$ to make the sum $x^2+7xy-4y^2$?

Given:

The expressions are $2x^2-5xy+3y^2$ and $x^2+7xy-4y^2$.

To find:

We have to add $2x^2-5xy+3y^2$ and $x^2+7xy-4y^2$.

Solution:

$(2x^2-5xy+3y^2)+(x^2+7xy-4y^2)=(2+1)x^2+(-5+7)xy+(3-4)y^2$

$=3x^2+2xy-y^2$.

The sum of the given expressions is $3x^2+2xy-y^2$.

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Updated on: 10-Oct-2022

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