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

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

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simplify (x+sqrt(3))^2

simplify

(x + 3)^{2}

x^{2} + 23 x + 3

Solution steps

(x + 3)^{2}

Apply Perfect Square Formula:

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

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

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

2 x 3 = 23 x

(3)^{2} = 3

= x^{2} + 23 x + 3

(x + 2) (x - 2)

\frac{x ^{2} + 3 x - 2}{( x ^{2} - 1 ) ( x - 2 )}

(1 - i)^{7}

(x - 2)^{2}

(e^{t} - 1)^{2}