complex number

1. if W is the cube root of unity then (1-W+W2)5 +(1+W-W2) is equal to?????

2.if W is the cube root of unity then (1-W+W2)(1-W2+W6) is eqaul to???

5 Answers

1
Ricky ·

{ 1 - w + w 2 } 5 = { 1 + w + w 2 - 2 w } 5 = { - 2 w } 5 = - 32 w 2

{ 1 + w - w 2 } = { 1 + w + w 2 - 2 w 2 } = - 2 w 2

Adding them up gives ---------------- { - 34 w 2 }

Similarly , for the second one , the expression boils down to -

{ - 2 w } { 2 - w 2 } = - 4 w + 2

1
smsm ·

its fine but the ans are not these. for frist one the ans is -128W nd 2nd one is 32. can't understand how ??

1
Ricky ·

@SMSM - Are you sure that you typed the qs. right ?

1
smsm ·

YUP, i m sure. u can check them in arihant entrance corner

62
Lokesh Verma ·

IF that is the case, the book is wrong :)

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