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

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

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

simplify

(x - 1) (x + 1)

x - 1

Solution steps

(x - 1) (x + 1)

Apply Difference of Two Squares

(x - 1) (x + 1) : x - 1

= x - 1

(sin (x) + x cos (x))^{2}

\frac{d ^{2}}{d x ^{2}} (x^{4}) - 2 x (6 x - x^{2})

\frac{6 x ^{2} - 9 x + 1}{( x - 1 ) ^{2} ( x + 1 )}

(x - 5) (x + 5)

7 (π - 5)