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Popular >

simplify 8i-(6-3i)+(4-4i)

Solution

simplify

8 i - (6 - 3 i) + (4 - 4 i)

Solution

- 2 + 7 i

Solution steps

8 i - (6 - 3 i) + (4 - 4 i)

Apply rule:

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

- (6 - 3 i) + (4 - 4 i) = - (6 - 3 i) + 4 - 4 i

= 8 i - (6 - 3 i) + 4 - 4 i

Group like terms

= 8 i - 4 i - (6 - 3 i) + 4

Add similar elements:

8 i - 4 i = 4 i

= 4 i - (6 - 3 i) + 4

Remove parentheses:

- (a + bi) = - a - bi

= 4 i + - 6 - (- 3) i + 4

Group like terms

= 4 i - (- 3) i - 6 + 4

Add similar elements:

4 i - (- 3) i = 7 i

= 7 i - 6 + 4

Add the numbers:

- 6 + 4 = - 2

= 7 i - 2

Rewrite in standard complex form:

- 2 + 7 i

= - 2 + 7 i

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Frequently Asked Questions (FAQ)

What is 8i-(6-3i)+(4-4i) ?
The solution to 8i-(6-3i)+(4-4i) is -2+7i