分解因式:a(x-a)的2n次方-(a-x)的2n+1次方

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分解因式:a(x-a)的2n次方-(a-x)的2n+1次方
分解因式:a(x-a)的2n次方-(a-x)的2n+1次方

分解因式:a(x-a)的2n次方-(a-x)的2n+1次方
a(x-a)^(2n)-(a-x)^(2n+1)
=a(a-x)^(2n)-(a-x)^(2n+1)
=(a-x)^(2n)[a-(a-x)]
=x(a-x)^(2n)

a(x-a)^2n-(a-x)^(2n+1)
=a(x-a)^2n+(x-a)^(2n+1)
=a(x-a)^2n+(x-a)(x-a)^2n
=(a+x-a)(x-a)^2n
=x(x-a)^2n

a(x-a)的2n次方-(a-x)的2n+1次方
=a(x-a)^(2n)-(a-x)^(2n+1)
=a(x-a)^(2n)+(x-a)^(2n+1)
=(x-a)^(2n)[a+(x-a)]
=x(x-a)^(2n)

a(x-a)的2n次方-(a-x)的2n+1次方
=a(x-a)的2n次方-(a-x)的2n次方*(a-x)
=a(x-a)的2n次方-(x-a)的2n次方*(a-x)
=(x-a)的2n次方[a-(a-x)]
=x(x-a)的2n次方

a(x-a)^2n-(a-x)^2n+1
=a(a-x)^2n-(a-x)^2n+1
=(a-x)^2n[a-((a-x)]
=(a-x)^2n(a-a+x)
=x(a-x)^2n