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Popular >

simplify (5/4+5/4 i)^2

Solution

simplify

(\frac{5}{4} + \frac{5}{4} i)^{2}

Solution

\frac{25}{8} i

Solution steps

(\frac{5}{4} + \frac{5}{4} i)^{2}

Apply Perfect Square Formula:

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

(\frac{5}{4} + \frac{5}{4} i)^{2} = (\frac{5}{4})^{2} + 2 \cdot \frac{5}{4} \cdot \frac{5}{4} i + (\frac{5}{4} i)^{2}

= (\frac{5}{4})^{2} + 2 \cdot \frac{5}{4} \cdot \frac{5}{4} i + (\frac{5}{4} i)^{2}

Simplify

(\frac{5}{4})^{2} + 2 \cdot \frac{5}{4} \cdot \frac{5}{4} i + (\frac{5}{4} i)^{2} : \frac{25}{8} i

= \frac{25}{8} i

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Frequently Asked Questions (FAQ)

What is (5/4+5/4 i)^2 ?
The solution to (5/4+5/4 i)^2 is 25/8 i