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Popular >

simplify (3+8i)^2

Solution

simplify

(3 + 8 i)^{2}

Solution

- 55 + 48 i

Solution steps

(3 + 8 i)^{2}

Apply Perfect Square Formula:

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

(3 + 8 i)^{2} = 3^{2} + 2 \cdot 3 \cdot 8 i + (8 i)^{2}

= 3^{2} + 2 \cdot 3 \cdot 8 i + (8 i)^{2}

Simplify

3^{2} + 2 \cdot 3 \cdot 8 i + (8 i)^{2} : 48 i - 55

= 48 i - 55

Rewrite in standard complex form:

- 55 + 48 i

= - 55 + 48 i

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Frequently Asked Questions (FAQ)

What is (3+8i)^2 ?
The solution to (3+8i)^2 is -55+48i