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

The solution to (sqrt(x+2)+2)^2 is x+4sqrt(x+2)+6

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

simplify

(x + 2 + 2)^{2}

x + 4 x + 2 + 6

Solution steps

(x + 2 + 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(x + 2)^{2} + 2 x + 2 \cdot 2 + 2^{2} : x + 4 x + 2 + 6

= x + 4 x + 2 + 6

4 (210 - 32)

\frac{19 x - 13}{( x - 9 ) ( 4 x + 9 )}

\frac{1787}{2500 \cdot x \cdot ( x - 7 ) \cdot ( 5 \cdot s ^{2} + 2 \cdot s + 20 )}

\frac{x ^{2} - 11 x + 29}{( x - 5 ) ^{2}}

I n [e (x - 6)]