What is (8+6i)-(5+4i)-(-3-7i) ?

The solution to (8+6i)-(5+4i)-(-3-7i) is 6+9i

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simplify (8+6i)-(5+4i)-(-3-7i)

simplify

(8 + 6 i) - (5 + 4 i) - (- 3 - 7 i)

6 + 9 i

Solution steps

(8 + 6 i) - (5 + 4 i) - (- 3 - 7 i)

Apply rule:

(a) = a

(8 + 6 i) = 8 + 6 i

= 8 + 6 i - (5 + 4 i) - (- 3 - 7 i)

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

- (- 3 - 7 i) = - (- 3) - (- 7) i

= 8 + 6 i - 5 - 4 i - (- 3) - (- 7) i

Apply rule:

a - (- b) = a + b

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

= 8 + 6 i - 5 - 4 i + 3 - (- 7) i

Group like terms

= 6 i - 4 i - (- 7) i + 8 - 5 + 3

Add similar elements:

6 i - 4 i - (- 7) i = 9 i

= 9 i + 8 - 5 + 3

Add the numbers:

8 - 5 + 3 = 6

= 9 i + 6

Rewrite in standard complex form:

6 + 9 i

= 6 + 9 i

(\frac{9}{20} d^{5}) (2 d^{- 2}) (\frac{4}{3} d^{9})

8 - 125 x^{3}

7 x^{2} = 175

d^{2} + 20 d + 11 = 200

n^{2} + 8 n + 15 = 0