x6 − 2x4 + x2

is gelijk aan 		A.   x2(x3 - 2x2 + 1)
B.   x2(x − 1)2(x + 1)2
C.   x2(x3 - 2x2 + x + 1 )
D.   x2(x2 - 1)
E.   x2(x2 + 1)
                 

[ 3,4-2104 - op net sinds 12.12.12-(E)-25.8.2018]

Translation in   E N G L I S H

x6 − 2x4 + x2

is equal to 		A.   x2(x3 - 2x2 + 1)
B.   x2(x − 1)2(x + 1)2
C.   x2(x3 - 2x2 + x + 1 )
D.   x2(x2 - 1)
E.   x2(x2 + 1)

Oplossing - Solution


 x6 − 2x4 + x2
= x2(x4 − 2x2 + 1)
= x²(x² − 1)
= x²[(x + 1)(x − 1)]²
= x²(x + 1)²(x − 1)²