(mx²+my²)²-4m²x²y²的分解因式
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/23 20:59:07
(mx²+my²)²-4m²x²y²的分解因式
(mx²+my²)²-4m²x²y²
=(mx²)²+2m²x²y²+(my²)²-4m²x²y²
=(mx²)²-2m²x²y²+(my²)²
=(mx²-my²)²
=m²(x²-y²)²
=m²(x-y)²(x+y)²
=m²(x-y)(x-y)(x+y)(x+y)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/05/23 20:59:07
(mx²+my²)²-4m²x²y²的分解因式
(mx²+my²)²-4m²x²y²
=(mx²)²+2m²x²y²+(my²)²-4m²x²y²
=(mx²)²-2m²x²y²+(my²)²
=(mx²-my²)²
=m²(x²-y²)²
=m²(x-y)²(x+y)²
=m²(x-y)(x-y)(x+y)(x+y)