Q

# Find and correct the errors in the following mathematical statements 3x + 2 ^2 = 3 x^ 2 =6x +4

Find and correct the errors in the following mathematical statements

Q9

$( 3x +2 )^2 = 3 x ^2 + 6x + 4$

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LHS IS

$(3x + 2)^{2 } = (3x)^{2} + 2(3x)(2) +(2)^{2}$                                           usnig  $(a + b)^{2 } = (a)^{2} + 2(a)(b) +(b)^{2}$
$= 9x^2 + 12x + 4$

RHS IS

$3 x ^2 + 6x + 4$

$\boldsymbol{LHS} \neq \boldsymbol{RHS}$

Correct statement is

$(3x + 2)^{2 } = (3x)^{2} + 2(3x)(2) +(2)^{2}$ $= 9x^2 + 12x + 4$

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