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Popular >

simplify (4-4i)^3

Solution

simplify

(4 - 4 i)^{3}

Solution

- 128 - 128 i

Solution steps

(4 - 4 i)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

4^{3} - 3 \cdot 4^{2} \cdot 4 i + 3 \cdot 4 (4 i)^{2} - (4 i)^{3} : - 128 i - 128

= - 128 i - 128

Rewrite in standard complex form:

- 128 - 128 i

= - 128 - 128 i

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Frequently Asked Questions (FAQ)

What is (4-4i)^3 ?
The solution to (4-4i)^3 is -128-128i