Question

p^4 + q^4 + p^2q^2 factorise please.

Answer 1

=p^4+q^4+2p^2q^2 -p^2

q^2

={p^4+q^4+2p^2q^2}- p^2q^2

={p^2+q^2}^2 -p^2q^2

=(p^2+q^2+pq) (p^2+q^2-pq)

using the formula of

• (a+b) ^2=a^2+b^2+2ab
• a^2-b^2= (a+b) (a-b)