a3(b+c-d)+a2b(c+d-a)-a2c(d+a+b)这道题的具体解答过程

Question

a3(b+c-d)+a2b(c+d-a)-a2c(d+a+b)这道题的具体解答过程

Answer 1

a^3(b+c-d)+a^2b(c+d-a)-a^2c(d+a+b)
=a^2(a(b+c-d)+b(c+d-a)-c(d+a+b))
=a^2(ab+ac-ad+bc+bd-ab-dc-ac-bc)
=a^2(bd-ad-dc)
=a^2d(b-a-c)