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

The solution to expand (2x-1)(x-1+sqrt(5))(x-1-sqrt(5)) is 2x^3-5x^2-6x+4

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

expand

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

2 x^{3} - 5 x^{2} - 6 x + 4

Solution steps

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

Expand

(2 x - 1) (x - 1 + 5) : 2 x^{2} + x (- 3 + 25) - 5 + 1

= (2 x^{2} + x (- 3 + 25) - 5 + 1) (x - 1 - 5)

Distribute parentheses

= 2 x^{2} x + 2 x^{2} (- 1) + 2 x^{2} (- 5) + x (- 3 + 25) x + x (- 3 + 25) (- 1) + x (- 3 + 25) (- 5) - 5 x - 5 (- 1) - 5 (- 5) + 1 \cdot x + 1 \cdot (- 1) + 1 \cdot (- 5)

Simplify

2 x^{2} x + 2 x^{2} (- 1) + 2 x^{2} (- 5) + x (- 3 + 25) x + x (- 3 + 25) (- 1) + x (- 3 + 25) (- 5) - 5 x - 5 (- 1) - 5 (- 5) + 1 \cdot x + 1 \cdot (- 1) + 1 \cdot (- 5) : 2 x^{3} - 5 x^{2} - 6 x + 4

= 2 x^{3} - 5 x^{2} - 6 x + 4

x^{\frac{1}{2}} (x^{- \frac{3}{2}} + x^{- \frac{1}{2}})

(5 x + \frac{π}{180})^{2}

(1 - \frac{c}{a + c}) \cdot (\frac{1}{a} + \frac{c}{a ^{2}})

\frac{10 ( 10 + 9 4 ^{\frac{1}{2}} )}{3}

\frac{( x ^{3} - 6 x ^{2} + 10 x - 4 )}{( x - 2 )}

What is expand (2x-1)(x-1+sqrt(5))(x-1-sqrt(5)) ?
The solution to expand (2x-1)(x-1+sqrt(5))(x-1-sqrt(5)) is 2x^3-5x^2-6x+4