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Q.

The value of the expression x4−8x3+18x2−8x+2, when x=2+3, is

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a

2

b

1

c

0

d

3

answer is B.

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Detailed Solution

x=2+3or (x−2)2=3or x2−4x+1=0           (1)or (x−2)4=9or x4−8x3+24x2−32x+16=9or x4−8x3+18x2−8x+2+6x2−4x+1−1=0Using (1), we getx4−8x3+18x2−8x+2=1
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