How do you factor completely a4−b4?
Factoring the given expression:
First, use the formula of a2-b2=(a+b)(a-b):
a4-b4=a22-b22=a22-b22=a2+b2a2-b2
Again, use the formula of a2-b2:
a4-b4=a2+b2a+ba-b
Hence, the factors of a4-b4 is a2+b2a+ba-b.
Factorise Completely : a4−b4
The factorization form of a4+b4–a2b2 is _____________.