Expand: $(3 x - 2 b + 5 c)^{2}$

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Solution

The correct option is B

Using identity $(a - b + c)^{2} = a^{2} + b^{2} + c^{2} - 2 a b - 2 b c + 2 a c$

= $(3 x)^{2} + (2 b)^{2} + (5 c)^{2} - 2 (3 x) (2 b) - 2 (2 b) (5 c) + 2 (3 x) (5 c)$

= $9 x^{2} + 4 b^{2} + 25^{2} - 12 x b - 20 b c + 30 x c$

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