What is (sqrt(x+3)+4)^2 ?

The solution to (sqrt(x+3)+4)^2 is x+8sqrt(x+3)+19

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simplify (sqrt(x+3)+4)^2

simplify

(x + 3 + 4)^{2}

x + 8 x + 3 + 19

Solution steps

(x + 3 + 4)^{2}

Apply Perfect Square Formula:

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

(x + 3 + 4)^{2} = (x + 3)^{2} + 2 x + 3 \cdot 4 + 4^{2}

= (x + 3)^{2} + 2 x + 3 \cdot 4 + 4^{2}

Simplify

(x + 3)^{2} + 2 x + 3 \cdot 4 + 4^{2} : x + 8 x + 3 + 19

= x + 8 x + 3 + 19

cot (x) \cdot (tan (x) + sec (x))

(\frac{2}{3} (x - 3))^{2} + 4

(5 x - 3) (4 + \frac{3}{x ^{2}})

(- 0.5 + 0.5 i)^{5}

\frac{m ( m + 1 )}{2} + (m + 1)