Question

Разложите на множители

Answer 1

$3x^2+6xy+3y^2=3(x^2+2xy+y^2)=3(x+y)^2 \ \ -m^2+2m-1 = 0 \ D=4-4=0 ; m = -2/-2=1 \ -(m-1)^2 \ -x^2-4x-4=0 \ D=16-16=0 \ x= 4/-2=-2 \ -(x+2)^2 \ \ 6p^2+24q^2+24pq = 6(p^2+4pq+4q^2)=6(p+2q)^2$
$45x+30ax+5a^2x=5x(9+30a+5a^2)=5x(5a^2+2*3*5a+3^2) \ = 5x*(5a+3)^2$
$18cx^2-24cx+8c=2c(9x^2-12x+8)=2c(3x-2)^2$