问题
填空题
分解因式:x4-x2y2+16y4=______.
答案
x4-x2y2+16y4,
=x4+8x2y2+16y4-9x2y2
=(x2+y2)2-9x2y2
=(x2+y2+3xy)(x2+y2-3xy).
故答案为:(x2+y2+3xy)(x2+y2-3xy).
分解因式:x4-x2y2+16y4=______.
x4-x2y2+16y4,
=x4+8x2y2+16y4-9x2y2
=(x2+y2)2-9x2y2
=(x2+y2+3xy)(x2+y2-3xy).
故答案为:(x2+y2+3xy)(x2+y2-3xy).