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Popular >

simplify (6+4i)^2

Solution

simplify

(6 + 4 i)^{2}

Solution

20 + 48 i

Solution steps

(6 + 4 i)^{2}

Apply Perfect Square Formula:

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

(6 + 4 i)^{2} = 6^{2} + 2 \cdot 6 \cdot 4 i + (4 i)^{2}

= 6^{2} + 2 \cdot 6 \cdot 4 i + (4 i)^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 4 i + (4 i)^{2} : 48 i + 20

= 48 i + 20

Rewrite in standard complex form:

20 + 48 i

= 20 + 48 i

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Frequently Asked Questions (FAQ)

What is (6+4i)^2 ?
The solution to (6+4i)^2 is 20+48i