1.
x^4+x^2+1
=x^4+2x^2+1-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)
2.
x^4+4y^4
=x^4+4y^4+4x^2y^2-4x^2y^2
=(x^2+2y^2)^2-4x^2y^2
=(x^2+2y^2-2xy)(x^2+2y^2+2xy)
^4表示4次方,^2表示平方
老弟,还真贪得不厌哪
x^2+4y^2+9z^2=x^4+y^4+z^4
x²(x²-1)+y²(y²-4)+z²(z²-9)=0
x²=1,y²=4,z²=9
x^2+4y^2+9z^2=x^3+2y^3+3z^3
x²(x-1)+2y²(y-2)+3z²(z-3)=0
所以x=1,y=2,z=3
(2x-1)²+(2y-2)^2+(2z-3)²
=1+4+9
=14