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Algebraic Identities

State whether...

Question

State whether the statement is True or False.
The square of $(3 a - 2 b - 5 c)$ is equal to $9 a^{2} + 4 b^{2} + 25 c^{2} - 12 a b + 20 b c - 30 c a$ .

True

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False

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Solution

The correct option is A True
$M u l t i p l y (3 a - 2 b - 5 c) (3 a - 2 b - 5 c) = 9 a^{2} + 4 b^{2} + 25 c^{2} - 6 a b + 10 b c - 15 c a - 6 a b + 10 b c - 15 c a = 9 a^{2} + 4 b^{2} + 25 c^{2} - 12 a b + 20 b c - 30 c a$

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