What is (sqrt(2)-3i)-i(1-sqrt(2)i) ?

The solution to (sqrt(2)-3i)-i(1-sqrt(2)i) is -4i

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simplify (sqrt(2)-3i)-i(1-sqrt(2)i)

simplify

(2 - 3 i) - i (1 - 2 i)

- 4 i

Solution steps

(2 - 3 i) - i (1 - 2 i)

Apply rule:

(a) = a

(2 - 3 i) = 2 - 3 i

= 2 - 3 i - i (1 - 2 i)

Expand

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

= 2 - 3 i - i - 2

Add similar elements:

- 3 i - i = - 4 i

= 2 - 4 i - 2

Group like terms

= - 4 i + 2 - 2

Add similar elements:

2 - 2 = 0

= - 4 i

[(1 0^{- 4})^{3}]^{0}

(- 4)^{7} \cdot (- 4)^{2}

4 h^{2} - 12 hk + 9 k^{2}

2 t h (t - 2)

4 [2 (x + 1) - 3]

What is (sqrt(2)-3i)-i(1-sqrt(2)i) ?
The solution to (sqrt(2)-3i)-i(1-sqrt(2)i) is -4i