What is (sqrt(x+2)-2)*(sqrt(x+2)+2) ?

The solution to (sqrt(x+2)-2)*(sqrt(x+2)+2) is x-2

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simplify (sqrt(x+2)-2)*(sqrt(x+2)+2)

simplify

(x + 2 - 2) \cdot (x + 2 + 2)

x - 2

Solution steps

(x + 2 - 2) (x + 2 + 2)

Apply Difference of Two Squares

(x + 2 - 2) (x + 2 + 2) : x - 2

= x - 2

\frac{- 2 x ^{2} + 10 x + 4}{( x - 1 ) ( x ^{2} + 2 x + 9 )}

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

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

\frac{( 45 a ^{2} - b )}{( 30 ab )}

(x - \frac{1}{3 x ^{2}})^{10}

What is (sqrt(x+2)-2)*(sqrt(x+2)+2) ?
The solution to (sqrt(x+2)-2)*(sqrt(x+2)+2) is x-2