将下列各式约分: ①3a3b−45a2b3; ②a4−162a2b+8b; ③a2−4ab+4b2a4−8a2b2+16b4.
问题描述:
将下列各式约分:
①
; ②3a3b −45a2b3
; ③
a4−16 2a2b+8b
.
a2−4ab+4b2
a4−8a2b2+16b4
答
①3a3b−45a2b3=-a15b 2; ②a4−162a2b+8b=a 2− 42b; ③a2−4ab+4b2a4−8a2b2+16b4=(a−2b) 2(a+2b) 2(a−2b) 2=1(a+2b) 2;...