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Popular >

simplify (i+2)^3

Solution

simplify

(i + 2)^{3}

Solution

2 + 11 i

Solution steps

(i + 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

i^{3} + 3 i^{2} \cdot 2 + 3 i 2^{2} + 2^{3} : 11 i + 2

= 11 i + 2

Rewrite in standard complex form:

2 + 11 i

= 2 + 11 i

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Frequently Asked Questions (FAQ)

What is (i+2)^3 ?
The solution to (i+2)^3 is 2+11i