Find and correct errors of the following mathematical expressions:ind and correct error
$(3 x + 2)^{2} = 3 x^{2} + 6 x + 4$

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Solution

The statement is incorrect.
LHS can be expanded by using formula, $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
$∴ (3 x + 2)^{2} = (3 x)^{2} + 2 (3 x) (2) + 2^{2} = 9 x^{2} + 12 x + 4$
Therefore the correct statement is
$(3 x + 2)^{2} = 9 x^{2} + 12 x + 4$

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