If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 1? Choose the correct choice from the following answers.
A) -1 B) 0 C) 1 D) 2 E) 3
Answer   x = 1 + √2   ∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 1   = x2(x - 2)2 + 1   = (1 + √2)2(1 + √2 - 2)2 + 1   =(√2 + 1)2 (√2 - 1)2 + 1   =[(√2)2 - (1)2]2 + 1   =(2 - 1)2 =1 + 1= 
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
2   Correct Option: 2
<result>D</result>
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 1?