16-у⁴ = (4-у²)(4+у²) = (4-у²)(2-у)(2+у)
(х²-6)(х²+2)=(х²-2)²-(х^2 - 6)(х^2 + 2) = (х^2 - 2)^2 - (х^4 - 4х^2 - 6х^2 + 12) = (х^4 - 4х^2 + 4) - х^4 - 10х^2 + 12 = х^4 - 4х^2 + 4 - -6х^2 + 12 = -4х^2 + 4 - -6х^2 + 12 + 4х^2 - 4 + х = -2х^2 + х + 8 = Решая уравнение -2х^2 + х + 8 = 0, получаем х1 = -2 и х2 = 2.
1) ху²-х+5-5у² = х(у^2-1) + 5 - 5у^2 = х(у-1)(у+1) - 5(у+12) n^8 + 27n^5 = n^5(n^3 + 27) = n^5(3+n)(9-n+3)
16-у⁴ = (4-у²)(4+у²) = (4-у²)(2-у)(2+у)
(х²-6)(х²+2)=(х²-2)²-
(х^2 - 6)(х^2 + 2) = (х^2 - 2)^2 -
(х^4 - 4х^2 - 6х^2 + 12) = (х^4 - 4х^2 + 4) -
х^4 - 10х^2 + 12 = х^4 - 4х^2 + 4 -
-6х^2 + 12 = -4х^2 + 4 -
-6х^2 + 12 + 4х^2 - 4 + х =
-2х^2 + х + 8 =
Решая уравнение -2х^2 + х + 8 = 0, получаем х1 = -2 и х2 = 2.
1) ху²-х+5-5у² = х(у^2-1) + 5 - 5у^2 = х(у-1)(у+1) - 5(у+1
2) n^8 + 27n^5 = n^5(n^3 + 27) = n^5(3+n)(9-n+3)