simplify (1-ix)^2

Solution

simplify

(1 - i x)^{2}

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

Solution steps

(1 - i x)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

1^{2} = 1

- 2 \cdot 1 i x = - 2 x i

(i x)^{2} = - x^{2}

= 1 - 2 x i - x^{2}

Rewrite in standard complex form:

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

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

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

\frac{v ( 5 v - 8 )}{9 y ^{2} - 12 v}

\frac{7 - 3 s}{( x + 2 ) ( x - 3 )}

u - 3^{2}

2 x (x + 3 = 3 (x - 1))