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Popular >

simplify 6-(3x-2i)^2

Solution

simplify

6 - (3 x - 2 i)^{2}

Solution

(- 9 x^{2} + 10) + 12 x i

Solution steps

6 - (3 x - 2 i)^{2}

Expand

(3 x - 2 i)^{2} : 9 x^{2} - 12 x i - 4

= 6 - (9 x^{2} - 12 x i - 4)

Expand

- (9 x^{2} - 12 x i - 4) : - 9 x^{2} + 12 x i + 4

= 6 - 9 x^{2} + 12 x i + 4

Group like terms

= - 9 x^{2} + 12 x i + 6 + 4

Add the numbers:

6 + 4 = 10

= - 9 x^{2} + 12 x i + 10

Rewrite in standard complex form:

(- 9 x^{2} + 10) + 12 x i

= (- 9 x^{2} + 10) + 12 x i

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Frequently Asked Questions (FAQ)

What is 6-(3x-2i)^2 ?
The solution to 6-(3x-2i)^2 is (-9x^2+10)+12xi