一道数学题:是分解因式题目:(a-1)(a-2)-ab+3b-2

一道数学题:是分解因式题目:(a-1)(a-2)-ab+3b-2
一道数学题:是分解因式
题目:(a-1)(a-2)-ab+3b-2

一道数学题:是分解因式题目:(a-1)(a-2)-ab+3b-2
(a-1)(a-2)-ab+3b-2
=a^2-3a+2-ab+3b-2
=a^2-ab-3a+3b
=a(a-b)-3(a-b)
=(a-3)(a-b)

a^2-3a-ab+3b
a(a-b)-3(a-b)
(a-3)(a-b)

(a-1)(a-2)-ab+3b-2
=(a-3)(a-b)

(a-1)(a-2)-ab+3b-2
=a^2-3a+2- ab+3b-2
= a^2-3a- ab+3b
=( a^2- ab)-(3a-3b)
=a(a-b)-3(a-b)
=(a-3)(a-b)