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Popular >

simplify (7-3i)^3

Solution

simplify

(7 - 3 i)^{3}

Solution

154 - 414 i

Solution steps

(7 - 3 i)^{3}

Apply Perfect Cube Formula:

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

(7 - 3 i)^{3} = 7^{3} - 3 \cdot 7^{2} \cdot 3 i + 3 \cdot 7 (3 i)^{2} - (3 i)^{3}

= 7^{3} - 3 \cdot 7^{2} \cdot 3 i + 3 \cdot 7 (3 i)^{2} - (3 i)^{3}

Simplify

7^{3} - 3 \cdot 7^{2} \cdot 3 i + 3 \cdot 7 (3 i)^{2} - (3 i)^{3} : - 414 i + 154

= - 414 i + 154

Rewrite in standard complex form:

154 - 414 i

= 154 - 414 i

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Frequently Asked Questions (FAQ)

What is (7-3i)^3 ?
The solution to (7-3i)^3 is 154-414i