因式分解題目

14^8-32×14^4+256

=14^8-32×14^4+16^2

=(14^4)^2-2*16*(14^4)+16^2

=(14^4-16)^2

=38400^2

=(2^9*3*5^2)^2

=2^18*3^2*5^4

2012-11-17 19:48:44 補充：
利用a^2-2ab+b^2=(a-b)^2

14^8 - 32x14^4 + 256
= (14^4 - 16)^2
= [(14^2 + 4)(14 + 2)(14 - 2)]^2
= (200 x 16 x 12)^2
= (2^3 x 5^2 x 2^4 x 2^2 x 3)^2
= 2^18 x 3^2 x 5^4