"9uv4" - 1 õppematerjal

Hulkliikmete tegurdamine

Hulkliikme tegurdamine 1) ühisteguri sulgude ette toomine 8y2 ­ 4y = 4y (2y ­ 1) 2 5 4 18u v ­ 27uv = 9uv4 (2uv ­ 3) ­x2 ­ 2x = ­x (x + 2) 2) valemite abil a2 ­ b2 = (a + b) (a ­ b) a2 ± 2ab + b2 = (a ± b)2 a3 ± b3 = (a ± b) (a2 ab + b2) 4a2 ­ 9b2 = (2a + 3b) (2a ­ 3b) 4m2 ­ 20mn + 25n2 = (2m ­ 5n)2 27x3 + 8 = (3x + 2) (9x2 ­ 6x + 4) 3) rühmitamisvõte ay + az + by + bz = a (y + z) + b (y + z) = = (y + z) (a + b) x3 ­3x2 ­ 3x + 9 = x2 (x ­ 3) ­ 3 (x ­ 3) =