Разложите на множители 1) 4 - (6с+3)^2 2) (6m + - вопрос №1463226421003621964345343589 от egorovartdin 30.10.2021 17:57

Question

Алгебра: Разложите на множители 1) 4 - (6с+3)^2 2) (6m + 4)^2 - 100 3) (n + 6)^2 - 196 4) (3d + 4)^2 - 1 5) 49 - (5d + 3)^2 6) 144 - (2p + 3)^2 7) (p + 6)^2 - 196 8) 4 - (6p + 5)^2

egorovartdin · Answer

1) 4 - (6с+3)^2=(2-6c-3)(2+6c+3)=(-6с-1)(6с+5)
2) (6m + 4)^2 - 100=(6m+4-10)(6n+4+10)=(6m-6)(6m+14)
3) (n + 6)^2 - 196=(n+6-14)(n+6+14)=(n-8)(n+20)
4) (3d + 4)^2 - 1=(3d+4-1)(3d+4+1)=(3d+3)(3d+5)
5) 49 - (5d + 3)^2=(7-5d-3)(7+5d+3)=(4-5d)(10+5d)
6) 144 - (2p + 3)^2=(12-2p-3)(12+2p+3)=(9-2p)(15+2p)
7) (p + 6)^2 - 196=(p+6-14)(p+6+14)=(p-8)(p+20)
8) 4 - (6p + 5)^2=(2-6p-5)(2+6p+5)=(-3-6p)(7+6p)