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

The solution to (t+2sqrt(3))^2 is t^2+4sqrt(3)t+12

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

simplify

(t + 23)^{2}

t^{2} + 43 t + 12

Solution steps

(t + 23)^{2}

Apply Perfect Square Formula:

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

(t + 23)^{2} = t^{2} + 2 t \cdot 23 + (23)^{2}

= t^{2} + 2 t \cdot 23 + (23)^{2}

2 t \cdot 23 = 43 t

(23)^{2} = 12

= t^{2} + 43 t + 12

- ((1 - cos (t)) (- 1 + cos (t)))

(x^{2} + 1) (3 x + 4)

(s + 1) (s + 1 + j^{2} π) (s + 1 - j^{2} π)

\frac{x ( x + 3 )}{x - 4}

x (2 x - \frac{1}{3})^{5}