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 – …………..