Question

розкладіть на множники ac^6 - ac^4 - c^6 + c^4

Answer 1

$ac {}^{6} - ac {}^{4} - c {}^{6} + c {}^{4} = c {}^{4} (ac {}^{2} - a - c {}^{2} + 1)$

Answer 2

$ac^6 - ac^4 - c^6 + c^4 = c^4\cdot(ac^2-a-c^2+1)=c^4\cdot(a\cdot(c^2-1)-(c^2-1))=c^4\cdot(c^2-1)\cdot(a-1)=c^4\cdot(c+1)\cdot(c-1)\cdot(a-1)$