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Popular >

simplify (6+5i)^3

Solution

simplify

(6 + 5 i)^{3}

Solution

- 234 + 415 i

Solution steps

(6 + 5 i)^{3}

Apply Perfect Cube Formula:

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

(6 + 5 i)^{3} = 6^{3} + 3 \cdot 6^{2} \cdot 5 i + 3 \cdot 6 (5 i)^{2} + (5 i)^{3}

= 6^{3} + 3 \cdot 6^{2} \cdot 5 i + 3 \cdot 6 (5 i)^{2} + (5 i)^{3}

Simplify

6^{3} + 3 \cdot 6^{2} \cdot 5 i + 3 \cdot 6 (5 i)^{2} + (5 i)^{3} : 415 i - 234

= 415 i - 234

Rewrite in standard complex form:

- 234 + 415 i

= - 234 + 415 i

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Frequently Asked Questions (FAQ)

What is (6+5i)^3 ?
The solution to (6+5i)^3 is -234+415i