Ответ:
[tex]1)7ab - 7ac + 6b - 6c = 7a ( b - c) + 6(b - c) = (7a + 6)(b - c) \\ 2)5mn + 10mp + bn + 2bp =5m(n + 2p) + b(n + 2p) = (5m + b)(n + 2p)\\ 3) {x}^{2} - y - xy + x = x(x + 1) - x(1 - x) = x(x + 1) + x(x + 1) = (x + x)(x + 1)\\ 4)3 {a}^{5} + 7 {a}^{3} b - 15 {a}^{2} - 35b = {a}^{3} (3 {a}^{2} + 7b) - 5(3 {a}^{2} + 7b) = ( {a}^{3} - 5)(3 {a}^{2} + 7b)[/tex]
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Ответ:
[tex]1)7ab - 7ac + 6b - 6c = 7a ( b - c) + 6(b - c) = (7a + 6)(b - c) \\ 2)5mn + 10mp + bn + 2bp =5m(n + 2p) + b(n + 2p) = (5m + b)(n + 2p)\\ 3) {x}^{2} - y - xy + x = x(x + 1) - x(1 - x) = x(x + 1) + x(x + 1) = (x + x)(x + 1)\\ 4)3 {a}^{5} + 7 {a}^{3} b - 15 {a}^{2} - 35b = {a}^{3} (3 {a}^{2} + 7b) - 5(3 {a}^{2} + 7b) = ( {a}^{3} - 5)(3 {a}^{2} + 7b)[/tex]