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Popular >

simplify (1/3+4i)^2

Solution

simplify

(\frac{1}{3} + 4 i)^{2}

Solution

- \frac{143}{9} + \frac{8}{3} i

Solution steps

(\frac{1}{3} + 4 i)^{2}

Apply Perfect Square Formula:

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

(\frac{1}{3} + 4 i)^{2} = (\frac{1}{3})^{2} + 2 \cdot \frac{1}{3} \cdot 4 i + (4 i)^{2}

= (\frac{1}{3})^{2} + 2 \cdot \frac{1}{3} \cdot 4 i + (4 i)^{2}

Simplify

(\frac{1}{3})^{2} + 2 \cdot \frac{1}{3} \cdot 4 i + (4 i)^{2} : - \frac{143}{9} + \frac{8}{3} i

= - \frac{143}{9} + \frac{8}{3} i

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Frequently Asked Questions (FAQ)

What is (1/3+4i)^2 ?
The solution to (1/3+4i)^2 is -143/9+8/3 i