解几道因式分解﹙1﹚121﹙x-y﹚²-169﹙x+y﹚² ﹙2﹚x﹙n-1﹚²-2x﹙n
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/25 10:30:14
解几道因式分解
﹙1﹚121﹙x-y﹚²-169﹙x+y﹚² ﹙2﹚x﹙n-1﹚²-2x﹙n-1﹚+x
﹙3﹚a²﹙x+3﹚-b²﹙x+3﹚ ﹙4﹚a³-9a
﹙1﹚121﹙x-y﹚²-169﹙x+y﹚² ﹙2﹚x﹙n-1﹚²-2x﹙n-1﹚+x
﹙3﹚a²﹙x+3﹚-b²﹙x+3﹚ ﹙4﹚a³-9a
﹙1﹚121﹙x-y﹚²-169﹙x+y﹚²
=[11(x-y)+13(x+y)][11(x-y)-13(x+y)]
=(24x-2y)(-2x-24y)
=-4(12x-y)(x+12y)
﹙2﹚x﹙n-1﹚²-2x﹙n-1﹚+x
=x[(n-1)²-2(n-1)+1]
=x[(n-1)-1]²
=x(n-2)²
﹙3﹚a²﹙x+3﹚-b²﹙x+3﹚
=(x+3)(a²-b²)
=(x+3)(a+b)(a-b)
﹙4﹚a³-9a
=a(a²-9)
=a(a+3)(a-3)
=[11(x-y)+13(x+y)][11(x-y)-13(x+y)]
=(24x-2y)(-2x-24y)
=-4(12x-y)(x+12y)
﹙2﹚x﹙n-1﹚²-2x﹙n-1﹚+x
=x[(n-1)²-2(n-1)+1]
=x[(n-1)-1]²
=x(n-2)²
﹙3﹚a²﹙x+3﹚-b²﹙x+3﹚
=(x+3)(a²-b²)
=(x+3)(a+b)(a-b)
﹙4﹚a³-9a
=a(a²-9)
=a(a+3)(a-3)
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