What is (x-1+sqrt(5))(x-1-sqrt(5)) ?

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

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simplify (x-1+sqrt(5))(x-1-sqrt(5))

simplify

(x - 1 + 5) (x - 1 - 5)

x^{2} - 2 x - 4

Solution steps

(x - 1 + 5) (x - 1 - 5)

Distribute parentheses

= xx + x (- 1) + x (- 5) - 1 \cdot x - 1 \cdot (- 1) - 1 \cdot (- 5) + 5 x + 5 (- 1) + 5 (- 5)

Simplify

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

= x^{2} - 2 x - 4

(cos (θ) + i sin (θ))^{7}

x (x^{5} e^{5 x} + 2)

\frac{6 s ^{2} + 50}{( s + 3 ) ( s ^{2} + 4 )}

\frac{l - 12 s ^{2} - 1}{( s ^{2} + 4 ) ( s ^{2} + 1 )}

(y - y x) d x + x d y

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