What is (3sqrt(x)+sqrt(3))^2 ?

The solution to (3sqrt(x)+sqrt(3))^2 is 9x+6sqrt(3)sqrt(x)+3

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simplify (3sqrt(x)+sqrt(3))^2

simplify

(3 x + 3)^{2}

9 x + 63 x + 3

Solution steps

(3 x + 3)^{2}

Apply Perfect Square Formula:

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

(3 x + 3)^{2} = (3 x)^{2} + 2 \cdot 3 x 3 + (3)^{2}

= (3 x)^{2} + 2 \cdot 3 x 3 + (3)^{2}

(3 x)^{2} = 9 x

2 \cdot 3 x 3 = 63 x

(3)^{2} = 3

= 9 x + 63 x + 3

(tan (x) + sec (x))^{2}

\frac{x ^{2} ( - x ^{2} + 4 )}{2}

2 (3 - 5)

(a x^{2} + b x + c) (d x^{2} + e x + f)

(1 + \frac{x}{2})^{10}

What is (3sqrt(x)+sqrt(3))^2 ?
The solution to (3sqrt(x)+sqrt(3))^2 is 9x+6sqrt(3)sqrt(x)+3