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

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

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

simplify

(x + 1 - 2) (x + 1 + 2)

x - 3

Solution steps

(x + 1 - 2) (x + 1 + 2)

Apply Difference of Two Squares

(x + 1 - 2) (x + 1 + 2) : x - 3

= x - 3

(2 x y^{3} - 4 y + 4 x - 3) d x + (3 x^{2} y^{2} - 4 x) d y

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

(2, - 4) y (- 3, 8)

(- x + \frac{1}{2}) (- x - \frac{1}{2})

\frac{3 x ^{2} - 8 x + 9}{( x - 2 ) ^{3}}

What is (sqrt(x+1)-2)(sqrt(x+1)+2) ?
The solution to (sqrt(x+1)-2)(sqrt(x+1)+2) is x-3