Using the identity $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ compute $(3 x - 5 y)^{2}$

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Solution

Using $(a - b)^{2}$ = $a^{2} - 2 a b + b^{2}$
To Compute $(3 x - 5 y)^{2}$
$(3 x)^{2} - 2 (3 x \times 5 y) + (5 y)^{2}$
$9 x^{2} - 2 (15 x y) + 25 y^{2}$
Solution - $9 x^{2} - 30 x y + 25 y^{2}$

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