What is (x-2+sqrt(5))(x-2-sqrt(5)) ?

The solution to (x-2+sqrt(5))(x-2-sqrt(5)) is x^2-4x-1

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simplify (x-2+sqrt(5))(x-2-sqrt(5))

simplify

(x - 2 + 5) (x - 2 - 5)

x^{2} - 4 x - 1

Solution steps

(x - 2 + 5) (x - 2 - 5)

Distribute parentheses

= xx + x (- 2) + x (- 5) - 2 x - 2 (- 2) - 2 (- 5) + 5 x + 5 (- 2) + 5 (- 5)

Simplify

xx + x (- 2) + x (- 5) - 2 x - 2 (- 2) - 2 (- 5) + 5 x + 5 (- 2) + 5 (- 5) : x^{2} - 4 x - 1

= x^{2} - 4 x - 1

(1 - sin (x)) (- sin (x))

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

(4 x + 1)^{2}

(\frac{1}{4} m - 2 n)^{2}

What is (x-2+sqrt(5))(x-2-sqrt(5)) ?
The solution to (x-2+sqrt(5))(x-2-sqrt(5)) is x^2-4x-1