Factorise : a4+a2b2+b4?

2 Answers
Apr 6, 2018

(a2+b2+ab)(a2+b2ab)

Explanation:

Given, a4+a2b2+b4
(a2)2+2a2b2+(b2)2a2b2
(a2+b2)2(ab)2
[(a2+b2)+ab][(a2+b2)ab]
(a2+b2+ab)(a2+b2ab)

Apr 6, 2018

See explanation.

Explanation:

a4+a2b2+b4=

=a4+2a2b2+b4a2b2

=(a2+b2)2a2b2

=(a2+ab+b2)(a2ab+b2)