1) t(х - у) + с(у - x) = t(x - y) - c(x - y) = (t - c)(x - y)2) 3p(a - c) - (c - a) = 3p(a - c) - 1(c - a) = (3p - 1)(a - c)3) 3x^5y^2 + 15x^4y^3 + 12x^3y^4 = 3x^3y^2(x^2 + 5xy + 4y^2)4) (x + 5)(2a + 1) + (x + 5)(3a - 8) = (x + 5)(2a + 1 + 3a - 8) = (x + 5)(5a - 7)5) (5t - 3)(p + 1) - (2p + 3)(3 - 5t) = (5t - 3)(p + 1) - (-2p - 3)(5t - 3) = (5t - 3 - 2p - 3)(p + 1) = (5t - 2p - 6)(p + 1)
1) t(х - у) + с(у - x) = t(x - y) - c(x - y) = (t - c)(x - y)
2) 3p(a - c) - (c - a) = 3p(a - c) - 1(c - a) = (3p - 1)(a - c)
3) 3x^5y^2 + 15x^4y^3 + 12x^3y^4 = 3x^3y^2(x^2 + 5xy + 4y^2)
4) (x + 5)(2a + 1) + (x + 5)(3a - 8) = (x + 5)(2a + 1 + 3a - 8) = (x + 5)(5a - 7)
5) (5t - 3)(p + 1) - (2p + 3)(3 - 5t) = (5t - 3)(p + 1) - (-2p - 3)(5t - 3) = (5t - 3 - 2p - 3)(p + 1) = (5t - 2p - 6)(p + 1)