What is (12sqrt(x)+2)^2 ?

The solution to (12sqrt(x)+2)^2 is 144x+48sqrt(x)+4

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simplify (12sqrt(x)+2)^2

simplify

(12 x + 2)^{2}

144 x + 48 x + 4

Solution steps

(12 x + 2)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(12 x + 2)^{2} = (12 x)^{2} + 2 \cdot 12 x \cdot 2 + 2^{2}

= (12 x)^{2} + 2 \cdot 12 x \cdot 2 + 2^{2}

(12 x)^{2} = 144 x

2 \cdot 12 x \cdot 2 = 48 x

2^{2} = 4

= 144 x + 48 x + 4

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