а) 5a - 5b - c(a - b) = 5a - 5b - ca + cb = 5a - 5b - ca + cb = (5a - 5b) - c(a - b) = 5(a - b) - c(a - b) = (5 - c)(a - b)
б) a^3 - a^2 - 4a + 4 = a^2(a - 1) - 4(a - 1) = (a - 1)(a^2 - 4) = (a - 1)(a + 2)(a - 2)
в) 16b^2 - (4 - b)^2 = 4^2b^2 - (4 - b)^2 = (4b - (4 - b))(4b + (4 - b)) = (4b - 4 + b)(4b + 4 - b) = (5b - 4)(3b + 4)
а) 5a - 5b - c(a - b) = 5a - 5b - ca + cb = 5a - 5b - ca + cb = (5a - 5b) - c(a - b) = 5(a - b) - c(a - b) = (5 - c)(a - b)
б) a^3 - a^2 - 4a + 4 = a^2(a - 1) - 4(a - 1) = (a - 1)(a^2 - 4) = (a - 1)(a + 2)(a - 2)
в) 16b^2 - (4 - b)^2 = 4^2b^2 - (4 - b)^2 = (4b - (4 - b))(4b + (4 - b)) = (4b - 4 + b)(4b + 4 - b) = (5b - 4)(3b + 4)