If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 ?	Choose the correct choice
A) -1 B) 0 C) 1 D) 2 E) 3
Answer   x = 1 + √2   ∴ x4 - 4x3 + 4x2 = x2(x2 - 4x + 4)   = x2(x - 2)2   = (1 + √2)2(1 + √2 - 2)2   =(√2 + 1)2 (√2 - 1)2   =[(√2)2 - (1)2]2   =(2 - 1)2 =1   1orrect Option: 1
<result>C</result>
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 ?