1)а) 15у^2 + 7у - (13у - 5у^2) = 15у^2 + 7у - 13у + 5у^2 = 20у^2 - 6уб) 2с(а - 3в + 4) = 2ас - 6с + 8с = 2ас - 6с + 8св) (4х - 1)(2х - 3) = 8х^2 - 12х - 2х + 3 = 8х^2 - 14х + 3г) (а + 2)(а^2 - а - 3) = а^3 - а^2 - 3а + 2а^2 - 2а - 6 = а^3 + а^2 - 5а - 6д) (4аv^2 - 6a^2v) : 2ав = 2v(2v - 3a)
2) 2х(3х - 4) - 3х(3х - 1) = 6х^2 - 8х - 9х^2 + 3х = -3х^2 - 5х
3) 1,5х(3х^2 - 5)(2х^2 + 3) = 1.5х * 6х^4 - 10х^2 + 9 - 5х^2 - 10x + 9 = 9х^5 - 15х^3 + 13.5х - 10x + 9
4) 5a(a + b + c) - 5b(a - b - c) - 5с(a + b - c) = 5a^2 + 5ab + 5ac - 5ab + 5b^2 + 5bc - 5ac - 5bc - 5c^2 = 5a^2 + 5b^2 - 5c^2
1)
а) 15у^2 + 7у - (13у - 5у^2) = 15у^2 + 7у - 13у + 5у^2 = 20у^2 - 6у
б) 2с(а - 3в + 4) = 2ас - 6с + 8с = 2ас - 6с + 8с
в) (4х - 1)(2х - 3) = 8х^2 - 12х - 2х + 3 = 8х^2 - 14х + 3
г) (а + 2)(а^2 - а - 3) = а^3 - а^2 - 3а + 2а^2 - 2а - 6 = а^3 + а^2 - 5а - 6
д) (4аv^2 - 6a^2v) : 2ав = 2v(2v - 3a)
2) 2х(3х - 4) - 3х(3х - 1) = 6х^2 - 8х - 9х^2 + 3х = -3х^2 - 5х
3) 1,5х(3х^2 - 5)(2х^2 + 3) = 1.5х * 6х^4 - 10х^2 + 9 - 5х^2 - 10x + 9 = 9х^5 - 15х^3 + 13.5х - 10x + 9
4) 5a(a + b + c) - 5b(a - b - c) - 5с(a + b - c) = 5a^2 + 5ab + 5ac - 5ab + 5b^2 + 5bc - 5ac - 5bc - 5c^2 = 5a^2 + 5b^2 - 5c^2