What is (sqrt(2)-i)-i(1-sqrt(2)i) ?

The solution to (sqrt(2)-i)-i(1-sqrt(2)i) is -2i

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simplify (sqrt(2)-i)-i(1-sqrt(2)i)

simplify

(2 - i) - i (1 - 2 i)

- 2 i

Solution steps

(2 - i) - i (1 - 2 i)

Apply rule:

(a) = a

(2 - i) = 2 - i

= 2 - i - i (1 - 2 i)

Expand

- i (1 - 2 i) : - i - 2

= 2 - i - i - 2

Add similar elements:

- i - i = - 2 i

= 2 - 2 i - 2

Group like terms

= - 2 i + 2 - 2

Add similar elements:

2 - 2 = 0

= - 2 i

6 + 3 y^{2} - 3 y^{2} - 3 y + 7 y^{2} - 3 y - 4

ln (e^{6}) - ln (e^{2})

\frac{2}{5} + \frac{5}{6}

\frac{14 + 18}{2 x ^{18} - 7}

58 + 39 \cdot 11 \cdot 33 + 24

What is (sqrt(2)-i)-i(1-sqrt(2)i) ?
The solution to (sqrt(2)-i)-i(1-sqrt(2)i) is -2i