【a-b】的2次方×【a-b】的4次方-【b-a】的3次方×【a-b】的3次方

问题描述:

【a-b】的2次方×【a-b】的4次方-【b-a】的3次方×【a-b】的3次方

( a - b)^2 ×(a - b)^4 - ( b - a)^3 ×(a - b)^3= ( a - b)^2 ×(a -b)^4 - [-(a -b)]^3×(a - b)^3= (a - b)^2 ×(a - b)^4 + ( a - b)^3 ×(a - b)^3= (a - b)^6+ ( a - b)^6= 2(a - b)^6