What is (x-1+sqrt(3))(x-1-sqrt(3)) ?

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

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simplify (x-1+sqrt(3))(x-1-sqrt(3))

simplify

(x - 1 + 3) (x - 1 - 3)

x^{2} - 2 x - 2

Solution steps

(x - 1 + 3) (x - 1 - 3)

Distribute parentheses

= xx + x (- 1) + x (- 3) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 3) + 3 x + 3 (- 1) + 3 (- 3)

Simplify

xx + x (- 1) + x (- 3) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 3) + 3 x + 3 (- 1) + 3 (- 3) : x^{2} - 2 x - 2

= x^{2} - 2 x - 2

(\frac{8}{5} a + \frac{1}{3} b)^{2}

lo g_{6} (3 m n^{8})

- \frac{8 x}{( x ^{2} - 4 ) ^{2}}

(3 - i)^{4}

(1 - 2 i)^{5}

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