What is (2+i)-(9i-3) ?

The solution to (2+i)-(9i-3) is 5-8i

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simplify (2+i)-(9i-3)

simplify

(2 + i) - (9 i - 3)

5 - 8 i

Solution steps

(2 + i) - (9 i - 3)

Rewrite

9 i - 3

in standard complex form:

- 3 + 9 i

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

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

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

= (2 - (- 3)) + (1 - 9) i

Simplify

(2 - (- 3)) + (1 - 9) i : 5 - 8 i

= 5 - 8 i

(- 4 a^{2} b) (- a b^{2})

(x - 1) x

(x - 1) 4

(x - 4) 3

- 8 (- 7)