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Popular >

simplify (-1+3i)^2

Solution

simplify

(- 1 + 3 i)^{2}

Solution

- 8 - 6 i

Solution steps

(- 1 + 3 i)^{2}

Apply Perfect Square Formula:

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

(- 1 + 3 i)^{2} = (- 1)^{2} + 2 (- 1) \cdot 3 i + (3 i)^{2}

= (- 1)^{2} + 2 (- 1) \cdot 3 i + (3 i)^{2}

Simplify

(- 1)^{2} + 2 (- 1) \cdot 3 i + (3 i)^{2} : - 6 i - 8

= - 6 i - 8

Rewrite in standard complex form:

- 8 - 6 i

= - 8 - 6 i

Popular Examples

simplify 3*(180)/pi simplify

3 \cdot \frac{180}{π}

(r+7)/(-0.6)<20

\frac{r + 7}{- 0.6} < 20

(x^2-10x+24)/(x^2-1)<= 0

\frac{x ^{2} - 10 x + 24}{x ^{2} - 1} \leq 0

simplify 3/(3+2)simplify

\frac{3}{3 + 2}

2x^2-10x+15>= 3

2 x^{2} - 10 x + 15 \geq 3

Frequently Asked Questions (FAQ)

What is (-1+3i)^2 ?
The solution to (-1+3i)^2 is -8-6i