Question

Разложите на множители: х^5 - х^3 + x^2 - 1

Answer 1

х⁵-х³+х²-1=х³(х²-1)+(х²-1)=(х²-1)(х³+1)=(х+1)(х-1)(х+1)(х-х+1)

Answer 2

$x^{5} - x^{3} + x^{2} -1= x^{3} ( x^{2} -1)+1( x^{2} -1)=( x^{3} +1)( x^{2} -1)= \ =(x+1)( x^{2} +1-x)(x-1)(x+1)$