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Question

Question: If (x<sup>2</sup> + x + 1)<sup>100</sup> = c<sub>0</sub>+ c<sub>1</sub>x + c<sub>2</sub>x<sup>2</sup...

If (x2 + x + 1)100 = c0+ c1x + c2x2 +........ then the value of

c0 – c1 + c2 – c3 +...........is

A

2100

B

3100

C

1

D

2

Answer

1

Explanation

Solution

Given that (x2 + x + 1)100 = c0 + c1x + c2x2 + …..

Put x = –1

(1 – 1 + 1)100 = c0 – c1 + c2 – ………

Ž 1 = c0 – c1 + c2 – …………..