What is (sqrt(4+x)-2)(sqrt(4+x)+2) ?

The solution to (sqrt(4+x)-2)(sqrt(4+x)+2) is x

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simplify (sqrt(4+x)-2)(sqrt(4+x)+2)

simplify

(4 + x - 2) (4 + x + 2)

x

Solution steps

(4 + x - 2) (4 + x + 2)

Apply Difference of Two Squares

(4 + x - 2) (4 + x + 2) : x

= x

- 2 y^{3} - y^{2} + y^{2} + y^{3}

x^{2} + 50 x + 336

(x^{2} + 9) (x^{2} - 4)

6 x^{2} - 3 x - 4 x + 2

\frac{243}{3}

What is (sqrt(4+x)-2)(sqrt(4+x)+2) ?
The solution to (sqrt(4+x)-2)(sqrt(4+x)+2) is x