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Popular >

simplify (4+2i)^3

Solution

simplify

(4 + 2 i)^{3}

Solution

16 + 88 i

Solution steps

(4 + 2 i)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(4 + 2 i)^{3} = 4^{3} + 3 \cdot 4^{2} \cdot 2 i + 3 \cdot 4 (2 i)^{2} + (2 i)^{3}

= 4^{3} + 3 \cdot 4^{2} \cdot 2 i + 3 \cdot 4 (2 i)^{2} + (2 i)^{3}

Simplify

4^{3} + 3 \cdot 4^{2} \cdot 2 i + 3 \cdot 4 (2 i)^{2} + (2 i)^{3} : 88 i + 16

= 88 i + 16

Rewrite in standard complex form:

16 + 88 i

= 16 + 88 i

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Frequently Asked Questions (FAQ)

What is (4+2i)^3 ?
The solution to (4+2i)^3 is 16+88i