What is (sqrt(x+5)+2)^2 ?

The solution to (sqrt(x+5)+2)^2 is x+4sqrt(x+5)+9

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simplify (sqrt(x+5)+2)^2

simplify

(x + 5 + 2)^{2}

x + 4 x + 5 + 9

Solution steps

(x + 5 + 2)^{2}

Apply Perfect Square Formula:

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

(x + 5 + 2)^{2} = (x + 5)^{2} + 2 x + 5 \cdot 2 + 2^{2}

= (x + 5)^{2} + 2 x + 5 \cdot 2 + 2^{2}

Simplify

(x + 5)^{2} + 2 x + 5 \cdot 2 + 2^{2} : x + 4 x + 5 + 9

= x + 4 x + 5 + 9

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

V (- 4, - 3)

(x + 1 - i) (x + 1 + i)

\frac{2 ( ( - 1 ) ^{n} - 1 )}{π n ^{2}}