Write the coefficient of:

$4 x y in x^{2} - 4 x y + y^{2}$

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Solution

Step 1: Finding the coefficient;

Coefficient of $4 x y in x^{2} - 4 x y + y^{2}$ is $- 1$

Hence, The coefficient of $4 x y in x^{2} - 4 x y + y^{2} is - 1$

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x^{2} - 4 x y + y^{2}

(x^{2} - 4 x y - 2 y^{2}) d x + (y^{2} - 4 x y - 2 x^{2}) d y = 0

(x^{2} - 4 x y - 2 y^{2}) d x + (y^{2} - 4 x y - 2 x^{2}) d y = 0

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