Solve and find the relation between p and q:
$(p^{2} - q^{2}) = 2 (p q - q^{2})$

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Solution

We have,
$(p^{2} - q^{2}) = 2 (p q - q^{2})$

$p^{2} - q^{2} = 2 p q - 2 q^{2}$

$p^{2} + 2 q^{2} - q^{2} = 2 p q$

$p^{2} + q^{2} - 2 p q = 0$

$(p - q)^{2} = 0$

$p - q = 0$

$p = q$

Hence, this is the answer.

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