Question

Разложите на множители: 5y^2(y - 4)+(4 - y)^2

Answer 1

5y²(y-4)+(y-4)²=(y-4)(5y²+y-4)=(y-4)(y+1)(5y-4)

Answer 2

$5y^2(y - 4)+(4 - y)^2=-5y^2(4 - y)+(4 - y)^2= \ =(4 - y)(-5y^2+4-y^2)=(4-y)(-6y^2+4)= \ =(4-y)( 2-sqrt{6}y )(2+ sqrt{6}y )$