What is (sqrt(x+2)+1)^2 ?

The solution to (sqrt(x+2)+1)^2 is x+2sqrt(x+2)+3

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simplify (sqrt(x+2)+1)^2

simplify

(x + 2 + 1)^{2}

x + 2 x + 2 + 3

Solution steps

(x + 2 + 1)^{2}

Apply Perfect Square Formula:

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

(x + 2 + 1)^{2} = (x + 2)^{2} + 2 x + 2 \cdot 1 + 1^{2}

= (x + 2)^{2} + 2 x + 2 \cdot 1 + 1^{2}

Simplify

(x + 2)^{2} + 2 x + 2 \cdot 1 + 1^{2} : x + 2 x + 2 + 3

= x + 2 x + 2 + 3

(2 - 3 x i)^{2}

lo g_{7} (2) (x + 7) - lo g_{7} (x + 1)

\frac{k ( k + 1 ) ( k + 2 ) ( k + 3 )}{4}