What is (9-3i)-(5i-8) ?

The solution to (9-3i)-(5i-8) is 17-8i

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simplify (9-3i)-(5i-8)

simplify

(9 - 3 i) - (5 i - 8)

17 - 8 i

Solution steps

(9 - 3 i) - (5 i - 8)

Rewrite

5 i - 8

in standard complex form:

- 8 + 5 i

= 9 - 3 i - (- 8 + 5 i)

Group the real part and the imaginary part of the complex number

(a + bi) - (c + d i) = (a - c) + (b - d) i

= (9 - (- 8)) + (- 3 - 5) i

Simplify

(9 - (- 8)) + (- 3 - 5) i : 17 - 8 i

= 17 - 8 i

\frac{4}{3} - \frac{4}{3}

(3 x^{- 2} y^{- 3})^{- 4}

\frac{9}{10} - \frac{1}{10}

(x + 3) (x + 11)

\frac{7}{3} + 3