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Popular >

simplify (5-i)^3

Solution

simplify

(5 - i)^{3}

Solution

110 - 74 i

Solution steps

(5 - i)^{3}

Apply Perfect Cube Formula:

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

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

= 5^{3} - 3 \cdot 5^{2} i + 3 \cdot 5 i^{2} - i^{3}

Simplify

5^{3} - 3 \cdot 5^{2} i + 3 \cdot 5 i^{2} - i^{3} : - 74 i + 110

= - 74 i + 110

Rewrite in standard complex form:

110 - 74 i

= 110 - 74 i

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Frequently Asked Questions (FAQ)

What is (5-i)^3 ?
The solution to (5-i)^3 is 110-74i