What is (x-1+sqrt(7))(x-1-sqrt(7)) ?

The solution to (x-1+sqrt(7))(x-1-sqrt(7)) is x^2-2x-6

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simplify (x-1+sqrt(7))(x-1-sqrt(7))

simplify

(x - 1 + 7) (x - 1 - 7)

x^{2} - 2 x - 6

Solution steps

(x - 1 + 7) (x - 1 - 7)

Distribute parentheses

= xx + x (- 1) + x (- 7) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 7) + 7 x + 7 (- 1) + 7 (- 7)

Simplify

xx + x (- 1) + x (- 7) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 7) + 7 x + 7 (- 1) + 7 (- 7) : x^{2} - 2 x - 6

= x^{2} - 2 x - 6

(z + \frac{3}{5}) (z - \frac{3}{5})

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

2 x (x + 1)

\frac{( s + 3 )}{( s ^{2} + 6 s + 34 ) ^{2}}

What is (x-1+sqrt(7))(x-1-sqrt(7)) ?
The solution to (x-1+sqrt(7))(x-1-sqrt(7)) is x^2-2x-6