a3+a2b+ab2+b3,八年级上册因式分解!

Question

如题所述

Answer 1

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

Answer 2

=(a+b)(a2+ab+b2)+a2b+ab2
=(a+b)(a2+ab+b2)+ab(a+b)
=(a+b)(a2+2ab+b2)
=(a+b)(a+b)2
=(a+b)3

Answer 3

a3+a2b+ab2+b3=a^2(a+b)+b^2(a+b)
=(a+b)(a^2+b^2)

Answer 4

=(a+b)3

Answer 5

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

Answer 6

(a2+b2)(a+b)