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Popular >

expand (2+i)^3

Solution

expand

(2 + i)^{3}

Solution

2 + 11 i

Solution steps

(2 + i)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

2^{3} + 3 \cdot 2^{2} i + 3 \cdot 2 i^{2} + i^{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 expand (2+i)^3 ?
The solution to expand (2+i)^3 is 2+11i