Разложить многочлен на множетели а) 5y^2(y-4)+(4-y)^2 b) 125a^3+150a^2b+90ab^2+27b^3  

[latex]5 y^{2} (y-4)+(4-y) ^{2} =(4-y)^{2}-5 y^{2} (4-y)=(4-y)((4-y)-5 y^{2})=(4-y)(4-y-5 y^{2})=(y-4)(5 y^{2}+y-4) 5 y^{2}+y-4=0 D= 1+4*5*4=81[/latex][latex]y1= \frac{-1-9}{10} =-1 y2= \frac{-1+9}{10} = \frac{8}{10} =(y-4)(y+1)(y- \frac{8}{10} )[/latex] y1=4 y2=-1 y3=8/10