分解因式 3a(a-2b)^2-6(a-2b)^3 -4a^n+2+6a^n+1-14a^n
问题描述:
分解因式 3a(a-2b)^2-6(a-2b)^3 -4a^n+2+6a^n+1-14a^n
答
3a(a-2b)^2-6(a-2b)^3
=3(a-2b)²[a-2(a-2b)]
=3(a-2b)²(a-2a+4b)
=3(a-2b)²(4b-a)
-4a^n+2+6a^n+1-14a^n
=-2a^n(2a²-3a+7)