分解因式(p²+q²)²-4p²q²=

来源：学生作业帮助网编辑：作业帮时间：2024/05/07 06:36:06

分解因式(p²+q²)²-4p²q²=
分解因式(p²+q²)²-4p²q²=

分解因式(p²+q²)²-4p²q²=
(p²+q²)²-4p²q²
=(p²+q²+2p^2q^2)(p²+q²-2p^2q^2)
=(p+q)^2((p-q)^2

(p²+q²)²-4p²q²=(p²-q²)²

原式=p^4+q^4+2p^2q^2-4p^2q^2
=p^4+q^4-2p^2q^2
=(p^2-q^2)^2