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