2а² - 12а + 18 = 2(а² - 6а + 9) = 2(а² - 2*а*3 + 3²) =
=2(а - 3)² =2(а - 3)(а - 3)
10х - 5х² - 5 = - 5( - 2х + х² + 1) = - 5(х² - 2*х*1 + 1²) =
= - 5(а - 1)² = - 5(а - 1)(а - 1)
0,5u² + 4uv + 8v² = 0.5(u² + 8uv + 16v²) = 0.5(u² + 2*u*4v + (4v)² ) =
= 0.5(u+4v)² = 0.5(u + 4v)(u + 4v)
-0.9x² - 0.6xy - 0.1y² = -0.1(9x² + 6xy + y²) = -0.1(3x+y)² = -0.1(3x+y)(3x+y)
t³ - 8t² + 16t = t(t² - 8t + 16) =t(t² - 2*t*4 + 4²) = t(t - 4)² = t(t - 4)(t - 4)
4u³+4u² + u = u(4u² + 4u + 1) = u((2u)² + 2*2u*1 + 1²)= u( 2u + 1)² =
= u(2u + 1)(2u + 1)