What is (5-2i)+(-3+6i)-(4-7i) ?

The solution to (5-2i)+(-3+6i)-(4-7i) is -2+11i

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simplify (5-2i)+(-3+6i)-(4-7i)

simplify

(5 - 2 i) + (- 3 + 6 i) - (4 - 7 i)

- 2 + 11 i

Solution steps

(5 - 2 i) + (- 3 + 6 i) - (4 - 7 i)

Simplify

(5 - 2 i) + (- 3 + 6 i) - (4 - 7 i) : 5 - 2 i - 3 + 6 i - (4 - 7 i)

= 5 - 2 i - 3 + 6 i - (4 - 7 i)

Group like terms

= - 2 i + 6 i - (4 - 7 i) + 5 - 3

Add similar elements:

- 2 i + 6 i = 4 i

= 4 i - (4 - 7 i) + 5 - 3

Subtract the numbers:

5 - 3 = 2

= 4 i - (4 - 7 i) + 2

Remove parentheses:

- (a + bi) = - a - bi

= 4 i + - 4 - (- 7) i + 2

Group like terms

= 4 i - (- 7) i - 4 + 2

Add similar elements:

4 i - (- 7) i = 11 i

= 11 i - 4 + 2

Add the numbers:

- 4 + 2 = - 2

= 11 i - 2

Rewrite in standard complex form:

- 2 + 11 i

= - 2 + 11 i

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