能;
(x2-y2)(4x2-y2)+3x2(4x2-y2)
=(4x2-y2)(x2-y2+3x2)
=(4x2-y2)2,
当y=kx,原式=(4x2-k2x2)2=(4-k2)2x4,
令(4-k2)2=1,解得k=±
3或±
5,
即当k=±
3或±
5时,原代数式可化简为x4.
能;
(x2-y2)(4x2-y2)+3x2(4x2-y2)
=(4x2-y2)(x2-y2+3x2)
=(4x2-y2)2,
当y=kx,原式=(4x2-k2x2)2=(4-k2)2x4,
令(4-k2)2=1,解得k=±
3或±
5,
即当k=±
3或±
5时,原代数式可化简为x4.