What is (2+sqrt(-4))-(3-sqrt(-9)) ?

The solution to (2+sqrt(-4))-(3-sqrt(-9)) is -1+5i

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simplify (2+sqrt(-4))-(3-sqrt(-9))

simplify

(2 + - 4) - (3 - - 9)

- 1 + 5 i

Solution steps

(2 + - 4) - (3 - - 9)

Apply rule:

(a) = a

(2 + - 4) = 2 + - 4

= 2 + - 4 - (3 - - 9)

- 4 = 2 i

- (3 - - 9) = - 3 + 3 i

= 2 + 2 i - 3 + 3 i

Group like terms

= 2 i + 3 i + 2 - 3

Add similar elements:

2 i + 3 i = 5 i

= 5 i + 2 - 3

Subtract the numbers:

2 - 3 = - 1

= 5 i - 1

Rewrite in standard complex form:

- 1 + 5 i

= - 1 + 5 i

(- 1) + 3

2 x y - 6 x + 3 y - 9

(- 4) \cdot (- 6)

100 - 64 + 3

6 x^{2} - 45 x + 21

What is (2+sqrt(-4))-(3-sqrt(-9)) ?
The solution to (2+sqrt(-4))-(3-sqrt(-9)) is -1+5i