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

The solution to (-7+3i)^2+(-2+8i) is 38-34i

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

simplify

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

38 - 34 i

Solution steps

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

Apply rule:

a + (b + c) = a + b + c

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

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

Expand

(- 7 + 3 i)^{2} : - 42 i + 40

= - 42 i + 40 - 2 + 8 i

Group like terms

= - 42 i + 8 i + 40 - 2

Add similar elements:

- 42 i + 8 i = - 34 i

= - 34 i + 40 - 2

Subtract the numbers:

40 - 2 = 38

= - 34 i + 38

Rewrite in standard complex form:

38 - 34 i

= 38 - 34 i

y - 2 y

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2 (\frac{x - 5}{2}) + 5

\frac{1}{x ^{2} + 1}