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

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

Popular >

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

expand

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

(x^{2} - 2 x + 1) - 5 i

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = x, b = - (1 - 5 i), c = x, d = - (1 + 5 i)

= xx + x (- (1 + 5 i)) + (- (1 - 5 i)) x + (- (1 - 5 i)) (- (1 + 5 i))

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= xx - (1 + 5 i) x - (1 - 5 i) x + (1 - 5 i) (1 + 5 i)

Simplify

xx - (1 + 5 i) x - (1 - 5 i) x + (1 - 5 i) (1 + 5 i) : (x^{2} - 2 x + 1) - 5 i

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

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

\frac{1}{s ( s ^{2} - k ^{2} )}

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

(1 - \frac{1 + x}{2 x}) \cdot (x)

(3 + 7) (3 - 7)

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