What is (2x+1)(2x-1)(x-2-sqrt(5))(x-2+sqrt(5)) ?

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

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simplify (2x+1)(2x-1)(x-2-sqrt(5))(x-2+sqrt(5))

simplify

(2 x + 1) (2 x - 1) (x - 2 - 5) (x - 2 + 5)

(2 x + 1) (2 x - 1) (x^{2} - 4 x - 1)

Solution steps

(2 x + 1) (2 x - 1) (x - 2 - 5) (x - 2 + 5)

Distribute parentheses

= (2 x + 1) (2 x - 1) (xx + x (- 2) + x 5 - 2 x - 2 (- 2) - 25 - 5 x - 5 (- 2) - 55)

Simplify

xx + x (- 2) + x 5 - 2 x - 2 (- 2) - 25 - 5 x - 5 (- 2) - 55 : x^{2} - 4 x - 1

= (2 x + 1) (2 x - 1) (x^{2} - 4 x - 1)

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

(\frac{3 x y ^{2}}{8} - \frac{7 y}{2})^{3}

\frac{8 x ^{2} + 8 x + 2}{( 4 x ^{2} + 1 ) ^{2}}

(\frac{1}{2} x - \frac{1}{2}) (\frac{1}{2} x - \frac{2}{5})

\frac{s}{( s - 4 ) ( s - 5 ) ( s - 20 )}

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