36(a-b)²-9分解因式36(a-b)²-9(m-2)(x-1)-x(m-2)

36(a-b)²-9分解因式36(a-b)²-9(m-2)(x-1)-x(m-2)
36(a-b)²-9分解因式
36(a-b)²-9
(m-2)(x-1)-x(m-2)

36(a-b)²-9分解因式36(a-b)²-9(m-2)(x-1)-x(m-2)
36(a-b)²-9
=[6(a-b)+3][6(a-b)-3]
=(6a-6b+3)(6a-6b-3)
(m-2)(x-1)-x(m-2)
=(m-2)(x-1-x)
=2-m

36(a-b)²-9=[6(a-b)]²-3²=(6a-6b+3)(6a-6b-3) 平方差公式
(m-2)(x-1)-x(m-2)=(2-m) 提取公因式

36(a-b)²-9分
=[4(a-b)+3][4(a-b)-3]
=(4a-ab+3)(4a-4b-3)

(m-2)(x-1)-x(m-2)
=(m-2)(x-1-x)
=m-2