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

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
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

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
=[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)

﹙1﹚121﹙x-y﹚²－169﹙x+y﹚²
=(11x-11y)²-(13x+13y)²
=(11x-11y+13x+13y)(11x-11y-13x-13y)
=(24x+2y)(-2x-24y)
=4(12x+y)(-x-12y)
﹙2﹚x﹙n-1﹚²-2x﹙n-1﹚＋x
=x[(n-1)...

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﹙1﹚121﹙x-y﹚²－169﹙x+y﹚²
=(11x-11y)²-(13x+13y)²
=(11x-11y+13x+13y)(11x-11y-13x-13y)
=(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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﹙1﹚
121﹙x-y﹚²－169﹙x+y﹚²
=[(11(x-y) + 13(x+y)] [(11(x-y) - 13(x+y)]
=(11x-11y + 13x+13y) (11x-11y - 13x -13y)
= - (24x+2y) (2x+2y)
= - 4(12x+y) (x+y)
﹙2﹚
x﹙n-1﹚...

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﹙1﹚
121﹙x-y﹚²－169﹙x+y﹚²
=[(11(x-y) + 13(x+y)] [(11(x-y) - 13(x+y)]
=(11x-11y + 13x+13y) (11x-11y - 13x -13y)
= - (24x+2y) (2x+2y)
= - 4(12x+y) (x+y)
﹙2﹚
x﹙n-1﹚²-2x﹙n-1﹚＋x
=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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