分解因式(p²+q²)²-4p²q²=
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/17 05:41:59
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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