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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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