1) 4c^3 - 32 = 4(c^3 - 8) = 4(c - 2)(c^2 + 2c + 4)2) 9x^2 - 6xy + y^2 + 12x - 4y = (3x - y)(3x - y) + 4(3x - y) = (3x - y + 4)(3x - y)3) m^2 + n^2 + 2mn + 2m + 2n + 1 = (m + n + 1)^2
1) 4c^3 - 32 = 4(c^3 - 8) = 4(c - 2)(c^2 + 2c + 4)
2) 9x^2 - 6xy + y^2 + 12x - 4y = (3x - y)(3x - y) + 4(3x - y) = (3x - y + 4)(3x - y)
3) m^2 + n^2 + 2mn + 2m + 2n + 1 = (m + n + 1)^2