1) x(m + c) - x(m + y) = x(m + c - m - y) = x(c - y)
2) a(3b + c) - x(3b + c) = (a - x)(3b + c)
3)k(x - y) + c(y - x) = k(x- y) + c (- (x - y)) = k(x - y) - c(x - y) = (k - c)(x - y)
4) 3x^{5} y^{2} + 15x^{4} y^{3} + 12x^{3} y^{4} = 3x^{3} y^{2} (x^{2} + 5xy + 4y^{2} ) = 3x^{3} y^{2} ((x + 2.5y)^{2} -2.25y^{2} ) = 3x^{3} y^{2}(x + 4y)(x + y)
5) 3(5m - 3) (n + 1)
Пошаговое объяснение:
1) x(m + c) - x(m + y) = x(m + c - m - y) = x(c - y)
2) a(3b + c) - x(3b + c) = (a - x)(3b + c)
3)k(x - y) + c(y - x) = k(x- y) + c (- (x - y)) = k(x - y) - c(x - y) = (k - c)(x - y)
4) 3x^{5} y^{2} + 15x^{4} y^{3} + 12x^{3} y^{4} = 3x^{3} y^{2} (x^{2} + 5xy + 4y^{2} ) = 3x^{3} y^{2} ((x + 2.5y)^{2} -2.25y^{2} ) = 3x^{3} y^{2}(x + 4y)(x + y)
5) 3(5m - 3) (n + 1)
Пошаговое объяснение: