What is (5-8i)-2i(2-3i) ?

The solution to (5-8i)-2i(2-3i) is -1-12i

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simplify (5-8i)-2i(2-3i)

simplify

(5 - 8 i) - 2 i (2 - 3 i)

- 1 - 12 i

Solution steps

(5 - 8 i) - 2 i (2 - 3 i)

Apply rule:

(a) = a

(5 - 8 i) = 5 - 8 i

= 5 - 8 i - 2 i (2 - 3 i)

Expand

- 2 i (2 - 3 i) : - 4 i - 6

= 5 - 8 i - 4 i - 6

Group like terms

= - 8 i - 4 i + 5 - 6

Add similar elements:

- 8 i - 4 i = - 12 i

= - 12 i + 5 - 6

Subtract the numbers:

5 - 6 = - 1

= - 12 i - 1

Rewrite in standard complex form:

- 1 - 12 i

= - 1 - 12 i

(2 x + 7) (x - 7)

- 5 i \cdot 5 i

- 2 (- \frac{x}{2})

7^{\frac{1}{2} - 1}