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

The solution to (3-2i)^2+(2-3i)^2 is -24i

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

simplify

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

- 24 i

Solution steps

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

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

(2 - 3 i)^{2} = - 12 i - 5

= - 12 i + 5 - 12 i - 5

Group like terms

= - 12 i - 12 i + 5 - 5

Add similar elements:

- 12 i - 12 i = - 24 i

= - 24 i + 5 - 5

Subtract the numbers:

5 - 5 = 0

= - 24 i

(x - 2)^{2} - 5 (x - 2) + 2

- 7 (- 8)

- 7 (- 2)

8 \cdot 50

8 \cdot 22