因式分解 F.2

解下列各式：
1. －4m^3+16m^2－6m
=－2m(2m^2－8m+3)

2. p(x－y)－q(x-y)
=(p－q)(x－y)

3. 8a(x－2)+6b(2－x)
=8a(x－2)－6b(x－2)
=(8a－6b)(x－2)
=2(4a－3b)(x－2)

4. 625m^2－9n^4
=(25m)^2－(3n^2)^2
=(25m－3n^2)(25m+3n^2)

5. 9(x－2)^2－6(x－2)+1
=(3x-6)^2－2*(3x－6)+1^2
=(3x－7)^2
6.16(x－y)^2– 24(x－y) +9
=(4x－4y)^2－2*(4x－4y)*3+3^2
=(4x－4y－3)^2

1.
-4m^3+ 16m^2 – 6m
=-2m(m^2-2m+3)

2.
p(x-y)-q(x-y)
=(x-y)(p-q)

3.
8a(x-2)+6b(2-x)
=8a(x-2)-6b(x-2)
=(x-2)(8a-6b)
=2(x-2)(4a-3b)

4.
625m^2-9n^4
=(25m-3n^2)(25m+3x^2)

5.
9(x-2)^2 -6(x-2)+1
=[3(x-2)-1]^2
=(3x-6-1)^2
=(3x-7)^2

6.
16(x-y)^2– 24(x-y) +9
=[4(x-y)-3]^2
=(4x-4y-3)^2