分解因式:(mx²+my²)²-4m²x²y²
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/27 05:38:39
分解因式:(mx²+my²)²-4m²x²y²
(mx²+my²)²-4m²x²y²
=m²(x²+y²)²-4m²x²y²
=m²x^4+2m²x²y²+m²y^4-4m²x²y²
=mx^4-2m²x²y²+m²y^4
=m²(x^4-2x²y²+y^4)
=m²(x²-y²)²
=m²(x+y)²(x-y)²
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来源:学生作业帮助网 编辑:作业帮 时间:2024/05/27 05:38:39
分解因式:(mx²+my²)²-4m²x²y²
(mx²+my²)²-4m²x²y²
=m²(x²+y²)²-4m²x²y²
=m²x^4+2m²x²y²+m²y^4-4m²x²y²
=mx^4-2m²x²y²+m²y^4
=m²(x^4-2x²y²+y^4)
=m²(x²-y²)²
=m²(x+y)²(x-y)²