1) c-6c^3-6c^2x+x = -c(6c^2 + 1) - x(6c^2 - 1) = -(6c^2 + 1)(c + x)
2) 3d^2-30dx+75x^2 = 3(d^2 - 10dx + 25x^2) = 3(d - 5x)^2
3) (5a-5c)^2 - 81c^2 = 25a^2 - 50ac + 25c^2 - 81c^2 = 25a^2 - 50ac - 56c^2
4) 48-3d^2 = 3(16 - d^2) = 3(4 + d)(4 - d)
1) c-6c^3-6c^2x+x = -c(6c^2 + 1) - x(6c^2 - 1) = -(6c^2 + 1)(c + x)
2) 3d^2-30dx+75x^2 = 3(d^2 - 10dx + 25x^2) = 3(d - 5x)^2
3) (5a-5c)^2 - 81c^2 = 25a^2 - 50ac + 25c^2 - 81c^2 = 25a^2 - 50ac - 56c^2
4) 48-3d^2 = 3(16 - d^2) = 3(4 + d)(4 - d)