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(1) (5m²+3n²)²-(3m²+5n²)²

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/24 04:58:33
(1) (5m²+3n²)²-(3m²+5n²)²
(2) xy³-2x²y²+x³y (³ 这个是3)
(3) (x²+4y²)²-16x²y²
(5m²+3n²)²-(3m²+5n²)²
=【(5m²+3n²)-(3m²+5n²)】【(5m²+3n²)+(3m²+5n²)】
=(2m²-2n²)(8m²+8n²)
=16(m-n)(m+n)(m²+n²)
xy³-2x²y²+x³y
=xy(y²-2xy+x²)
=xy(x-y)²
(x²+4y²)²-16x²y²
=【(x²+4y²)-4xy】【(x²+4y²)+4xy】
=(x-2y)²(x+2y)²