What is (5-7i+i^2)+(8i^3+12) ?

The solution to (5-7i+i^2)+(8i^3+12) is 16-15i

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simplify (5-7i+i^2)+(8i^3+12)

simplify

(5 - 7 i + i^{2}) + (8 i^{3} + 12)

16 - 15 i

Solution steps

(5 - 7 i + i^{2}) + (8 i^{3} + 12)

Simplify

(5 - 7 i + i^{2}) + (8 i^{3} + 12) : 5 - 7 i + i^{2} + 8 i^{3} + 12

= 5 - 7 i + i^{2} + 8 i^{3} + 12

Group like terms

= - 7 i + 8 i^{3} + i^{2} + 5 + 12

Add the numbers:

5 + 12 = 17

= - 7 i + 8 i^{3} + i^{2} + 17

8 i^{3} = - 8 i

i^{2} = - 1

= - 7 i - 8 i - 1 + 17

Add similar elements:

- 7 i - 8 i = - 15 i

= - 15 i - 1 + 17

Add the numbers:

- 1 + 17 = 16

= - 15 i + 16

Rewrite in standard complex form:

16 - 15 i

= 16 - 15 i

14 = \frac{3}{4} x

∣ c - 2 ∣ > 6

\frac{3.0 1 ^{2} - 9}{3.01 - 3}

- (- 3)^{2}

\frac{∣ 256.1 - x ∣}{256.1} = 0.09