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

The solution to (3+i)^2-(3-i)^2 is 12i

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

simplify

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

12 i

Solution steps

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

(3 + i)^{2} = 6 i + 8

(3 - i)^{2} = - 6 i + 8

= 6 i + 8 - (- 6 i + 8)

Expand

- (- 6 i + 8) : 6 i - 8

= 6 i + 8 + 6 i - 8

Group like terms

= 6 i + 6 i + 8 - 8

Add similar elements:

6 i + 6 i = 12 i

= 12 i + 8 - 8

Subtract the numbers:

8 - 8 = 0

= 12 i

2 a^{2} + a^{2}

\frac{21.75 - 20.83}{\frac{2.75}{38}}

x + \frac{1}{2} x

(2 x^{2} + 3 y)^{5}