What is (x-3+sqrt(5))(x-3-sqrt(5)) ?

The solution to (x-3+sqrt(5))(x-3-sqrt(5)) is x^2-6x+4

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simplify (x-3+sqrt(5))(x-3-sqrt(5))

simplify

(x - 3 + 5) (x - 3 - 5)

x^{2} - 6 x + 4

Solution steps

(x - 3 + 5) (x - 3 - 5)

Distribute parentheses

= xx + x (- 3) + x (- 5) - 3 x - 3 (- 3) - 3 (- 5) + 5 x + 5 (- 3) + 5 (- 5)

Simplify

xx + x (- 3) + x (- 5) - 3 x - 3 (- 3) - 3 (- 5) + 5 x + 5 (- 3) + 5 (- 5) : x^{2} - 6 x + 4

= x^{2} - 6 x + 4

\frac{2 ( x + 3 ) ( x - 2 )}{( x - 4 ) ( x + 4 )}

x (e^{x} - 1)

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

(1 + e^{2 t})^{3}

\frac{2 ( n + 1 ) ( 2 n + 1 )}{3 n}

What is (x-3+sqrt(5))(x-3-sqrt(5)) ?
The solution to (x-3+sqrt(5))(x-3-sqrt(5)) is x^2-6x+4