a^2b+b^2a+a+b+3ab+3 因式分解

问题描述:

a^2b+b^2a+a+b+3ab+3 因式分解

原式=a(ab)+b(ab)+a+b+3(ab+1)
=(a+b)(ab)+(a+b)+3(ab+1)
=(a+b)(ab+1)+3(ab+1)
=(ab+1)(a+b+3)
记得采纳哟亲

原式=(a^2b+b^2a+3ab)+(a+b+3)
=ab(a+b+3))+(a+b+3)
=(a+b+3)(ab+1)

ab(a+b)+a+b+3ab+3
(a+b)(ab+1)+3ab+3
(a+b)ab+1+3(ab+1)
(ab+1)(3+a+b)

a^2b+b^2a+a+b+3ab+3
=ab(a+b)+(a+b)+3(ab+1)
=(a+b)(ab+1)+3(ab+1)
=(a+b+3)(ab+1)

a^2b+b^2a+a+b+3ab+3
=ab(a+b)+(a+b)+3(ab+1)
=(a+b)(ab+1)+3(ab+1)
=(ab+1)(a+b+3)