Применим формулу сокращённого умножения:
a² - b² = (a - b)·(a + b).
1) 9·x²-4·y²-3·x+2·y = (3·x)²-(2·y)²-(3·x-2·y) = (3·x-2·y)·(3·x+2·y) - (3·x-2·y) =
= (3·x-2·y)·(3·x+2·y-1);
2) 81 - (3-8·y)² = 9² - (3-8·y)² = (9-(3-8·y))·(9+(3-8·y)) = (9-3+8·y)·(9+3-8·y) =
= (6+8·y)·(12-8·y) = 2·(3+4·y)·4·(3-2·y) = 8·(3+4·y)·(3-2·y);
3) 36-(y+1)² = 6²-(y+1)² = (6-(y+1))·(6+(y+1)) = (6-y-1)·(6+y+1) = (5-y)·(7+y);
4) (4-5·x)²-64 = (4-5·x)²-8² = (4-5·x-8)·(4-5·x+8) = (-4-5·x)·(12-5·x) =
= -(4+5·x)·(12-5·x) = (4+5·x)·(5·x-12).
х=-2/-3 7х-4х=-5-5 12х-8=5х+9 х-15х+25=-10х+2
х=2/3 3х=-10 12х-5х=9+8 х-15х+10х=2-25
х=-10/3 7х=17 -4х=-23
х=-3 1/3 х=17/7 х=-23/-4
х=2 3/7 х=5 3/4
д)5(0,4х-0,6)-0,3х=1,7х-3
2х-0,6-0,3х=1,7х-3
2х-0,3х-1,7х=-3+0,6
ответ:Нет решения