What is (9+7i)-(-9+7i)+(-18+i) ?

The solution to (9+7i)-(-9+7i)+(-18+i) is i

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simplify (9+7i)-(-9+7i)+(-18+i)

simplify

(9 + 7 i) - (- 9 + 7 i) + (- 18 + i)

i

Solution steps

(9 + 7 i) - (- 9 + 7 i) + (- 18 + i)

Simplify

(9 + 7 i) - (- 9 + 7 i) + (- 18 + i) : 9 + 7 i - (- 9 + 7 i) - 18 + i

= 9 + 7 i - (- 9 + 7 i) - 18 + i

Group like terms

= 7 i + i - (- 9 + 7 i) + 9 - 18

Add similar elements:

7 i + i = 8 i

= 8 i - (- 9 + 7 i) + 9 - 18

Subtract the numbers:

9 - 18 = - 9

= 8 i - (- 9 + 7 i) - 9

Remove parentheses:

- (a + bi) = - a - bi

= 8 i + - (- 9) - 7 i - 9

Apply rule:

a - (- b) = a + b

8 i - (- 9) = 8 i + 9

= 8 i + 9 - 7 i - 9

Group like terms

= 8 i - 7 i + 9 - 9

Add similar elements:

8 i - 7 i = i

= i + 9 - 9

Subtract the numbers:

9 - 9 = 0

= i

1000 lo g_{10} (1000)

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