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分解因式:我做完了,8(x²-2y²)-x(7x+y)+xy 4a四次方-64

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/11/05 23:37:30
分解因式:我做完了,8(x²-2y²)-x(7x+y)+xy 4a四次方-64
(5m²+3n²)²-(3m²+5n²)² x³+x²y-xy²-y³
观察下列等式:4²-1²=3*5 5²-2²=3*7 6²-3²=3*9 ……
则第n(n是正整数)个等式为
8(x²-2y²)-x(7x+y)+xy
=8x²-16y²-7x²-xy+xy
=x²-16y²
=(x+4y)(x-4y)
4a四次方-64
=4(a^4-16)
=4(a²+4)(a²-4)
=4(a²+4)(a+2)(a-2)
(5m²+3n²)²-(3m²+5n²)²
=[(5m²+3n²)+(3m²+5n²)][(5m²+3n²)-(3m²+5n²)]
=(8m²+8n²)(2m²-2n²)
=16(m²+n²)(m+n)(m-n)
x³+x²y-xy²-y³
=x²(x+y)-y²(x+y)
=(x+y)(x²-y²)
=(x+y)²(x-y)