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Popular Algebra >

simplify (8+3i)^2

Solution

simplify

(8 + 3 i)^{2}

Solution

55 + 48 i

Solution steps

(8 + 3 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

8^{2} + 2 \cdot 8 \cdot 3 i + (3 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 (8+3i)^2 ?
The solution to (8+3i)^2 is 55+48i

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