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Popular >

simplify (-3+i)^2

Solution

simplify

(- 3 + i)^{2}

Solution

8 - 6 i

Solution steps

(- 3 + i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

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

= - 6 i + 8

Rewrite in standard complex form:

8 - 6 i

= 8 - 6 i

Popular Examples

2 (4 x + 3) - 9 = 45

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2 x - \frac{π}{3} = 2 π

4-(u+3)<= 3(3-u)

4 - (u + 3) \leq 3 (3 - u)

factor 9x^2+3x-2 factor

9 x^{2} + 3 x - 2

Frequently Asked Questions (FAQ)

What is (-3+i)^2 ?
The solution to (-3+i)^2 is 8-6i