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Popular >

simplify (2i-3)^3

Solution

simplify

(2 i - 3)^{3}

Solution

9 + 46 i

Solution steps

(2 i - 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 i)^{3} - 3 (2 i)^{2} \cdot 3 + 3 \cdot 2 i 3^{2} - 3^{3} : 46 i + 9

= 46 i + 9

Rewrite in standard complex form:

9 + 46 i

= 9 + 46 i

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Frequently Asked Questions (FAQ)

What is (2i-3)^3 ?
The solution to (2i-3)^3 is 9+46i