Question

find the value of (1+i√3)³

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Answer 1

Answer:

it is the answer of this question

Answer 2

Answer:

-8

Step-by-step explanation:

{1+ i√3}³ = {1+i√3}² {1+i√3}

= {1² + (i√3)² +2×1×i√3 } {1+i√3} { because (a+b)² identity}

={1+ (-1×3) +2i√3} {1+i√3} {because i² = -1 }

= { -2 + 2i√3} {1+i√3}

= -2{ 1+i√3} + 2i√3{ 1+i√3}

= -2 - 2i√3 + 2i√3 + 2i² √3²

= -2 + 0 + 2(-1) 3 {because i²=-1}

= -2 -6

= -8

Alternate Method:- You can use the identity (a+b)³ to directly get the answer

HOPE THIS HELPS

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