Question

Разложите многочлен на множители 1) 36x^2+12x+1 2) 9-6y+4y^2

Answer 1

$36 x^{2} +12 x +1=36 x^{2} +6 x+1+6 x= 6x(6 x+1)+1(6 x+1)= \\ =(6 x+1)(6 x+1)=(6 x+1) ^{2} \\ \\ 9-12y+4 y^{2} =9-6y+4 y^{2} -6y=3(3-2y)-2y(3-2y)= \\ =(3-2y)(3-2y)=(3-2y) ^{2}$