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

The solution to (sqrt(x+2)+5)^2 is x+10sqrt(x+2)+27

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

simplify

(x + 2 + 5)^{2}

x + 10 x + 2 + 27

Solution steps

(x + 2 + 5)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(x + 2)^{2} + 2 x + 2 \cdot 5 + 5^{2} : x + 10 x + 2 + 27

= x + 10 x + 2 + 27

lo g_{10} (2) (5 x^{2} - x^{3})

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

- e^{(- x^{2} - x)^{2}} (2 x + 1)

e n^{l n (x)} (2 x + 2)

\frac{( x + Δ x ) ^{2} ( x ^{2} y + 3 y ^{3} )}{Δ x}