4(x-y)的n加1次方-(x+y)²×(x-y)的n减1次方分解因式
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4(x-y)的n加1次方-(x+y)²×(x-y)的n减1次方分解因式
4(x-y)的n加1次方-(x+y)²×(x-y)的n减1次方
分解因式
4(x-y)的n加1次方-(x+y)²×(x-y)的n减1次方分解因式
4(x-y)的n加1次方-(x+y)²×(x-y)的n减1次方
=(x-y)^(n-1)[4(x-y)²-(x-y)²]
=(x-y)^(n-1)【2(x-y)+(x-y)】【2(x-y)-(x-y)】
=(x-y)^(n-1)【3x-3y】【x-y】
=3(x-y)^(n-1)(x-y)²
=3(x-y)^(n+1)
4(x-y)的n加1次方-(x+y)²×(x-y)的n减1次方
=(x-y)^(n-1)[4(x-y)²-(x+y)²]
=(x-y)^(n-1)(2x-2y+x+y)(2x-2y-x-y)
=(x-y)^(n-1)(3x-y)(x-3y)
4(x-y)的(n+1)次方-(x+y)²×(x-y)的n减1次方
=(x-y)的n减1次方×【4(x-y)²-(x+y)²】
=(x-y)的(n-1)次方×【(2x-2y+x+y)(2x-2y-x-y)】
=(3x-y)(x-3y)×(x-y)的(n-1)次方