phân tích thành nhân tử :
a)
b)
c)
d)

.............. –  ๖ۣۜKenvil Ƹ̴Ӂ̴Ʒ ๖ۣۜTrần 28-08-17 02:28 AM
$d=2x^4-2x^3-2x+2=2x^2(x^2+x+1)-4x(x^2+x+1)+2(x^2+x+1)=2(x^2-2x+1)(x^2+x+1)=2(x-1)^2(x^2+x+1)$
à,a nhầm –  ๖ۣۜTQT☾♋☽ 24-08-17 08:18 AM
đang le phải là x^2-2x 2 –  pnt2912003 24-08-17 08:12 AM
sao,e k hiểu khúc nào –  ๖ۣۜTQT☾♋☽ 24-08-17 08:04 AM
khuc đạt nhân tủ chung ak anh Trung –  pnt2912003 24-08-17 08:03 AM
hình nhu bc cuoi ko ổn –  pnt2912003 24-08-17 08:00 AM
$x^4 - 8x + 63 $
$= (x^4 - 8x^2+16) + (5x^2 -20x +20) + (3x^2+12x +12) +15 $
$= (x^2-4)^2 + 5.(x-2)^2 + 3.(x+2)^2 +15 $
$= (x-2)^2.[(x+2)^2+5] + 3.[(x+2)^2+5] $
$= [(x-2)^2 +3].[(x+2)^2 +5]$
$=(x^2-4x +7).(x^2 +4x +9)$
$a,=(4x^4+4x^3+x^2)+(4x^2+2x)+1=x^2(2x+1)^2+2x(2x+1)+1=(2x^2+x+1)^2$
$b,x^3+y^3+z^3-3xyz=(x+y)^3-3xy(x+y)+z^3-3xyz=[(x+y)^3+z^3]-3xy(x+y+z)=(x+y+z)([(x+y)^2-(x+y)z+z^2]-3xy(x+y+z)=(x+y+z)((x^2+y^2+2xy-xz-yz+z^2-3xy)=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)$

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