(ax^2-2ax-3a)÷(x-3)=

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(ax^2-2ax-3a)÷(x-3)=
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(ax^2-2ax-3a)÷(x-3)=
(ax^2-2ax-3a)÷(x-3)=

(ax^2-2ax-3a)÷(x-3)=

(ax²-2ax-3a)÷(x-3)


=a(x²-2x-3)÷(x-3)


=a(x+1)(x-3)÷(x-3)


=a(x+1)

ax^2-2ax-3a
=a(x^2-2x-3)
=a(x+1)(x-3)
所以
(ax^2-2ax-3a)÷(x-3)=a(x+1)