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Popular >

simplify (5+8i)^2

Solution

simplify

(5 + 8 i)^{2}

Solution

- 39 + 80 i

Solution steps

(5 + 8 i)^{2}

Apply Perfect Square Formula:

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

(5 + 8 i)^{2} = 5^{2} + 2 \cdot 5 \cdot 8 i + (8 i)^{2}

= 5^{2} + 2 \cdot 5 \cdot 8 i + (8 i)^{2}

Simplify

5^{2} + 2 \cdot 5 \cdot 8 i + (8 i)^{2} : 80 i - 39

= 80 i - 39

Rewrite in standard complex form:

- 39 + 80 i

= - 39 + 80 i

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Frequently Asked Questions (FAQ)

What is (5+8i)^2 ?
The solution to (5+8i)^2 is -39+80i