Calculate: (x^2-2x+1)(1-x^2)=0

Expression: $(x^{2}-2x+1)(1-x^{2})=0$

Using the Zero Factor Principle:\quad If $ ab=0 $then $ a=0 $or $ b=0$

$x^{2}-2x+1=0\lor 1-x^{2}=0$

The solutions are

$x=1,x=-1$