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Popular >

simplify (4-i)^3

Solution

simplify

(4 - i)^{3}

Solution

52 - 47 i

Solution steps

(4 - i)^{3}

Apply Perfect Cube Formula:

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

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

= 4^{3} - 3 \cdot 4^{2} i + 3 \cdot 4 i^{2} - i^{3}

Simplify

4^{3} - 3 \cdot 4^{2} i + 3 \cdot 4 i^{2} - i^{3} : - 47 i + 52

= - 47 i + 52

Rewrite in standard complex form:

52 - 47 i

= 52 - 47 i

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Frequently Asked Questions (FAQ)

What is (4-i)^3 ?
The solution to (4-i)^3 is 52-47i