Question

Fatore a expressão a*3 + b*3 +bc*3 -3abc

Answer 1

a^3+b^3+bc^3-3abc= (a+bc)^3-3a^2bc-3abc^2+b^3-3abc

=(a+b+bc)^3- 3( a+bc)^2b-3(a+bc)b^2-3abc(a+bc+1)

=(a+b+bc)^3- 3(a+b)bc(a+b+bc)-3abc (

=(a+b+bc)(a^2+b^2+bc^2-3 (a+b)(bc))+3abc (a+bc+1)