Question

Factorize: p^4+q^4+p^2q^2​

Answer 1

Answer:

p⁴ + q⁴ + p²q²

p⁴+q⁴+2(p²q²)-p²q²

(p²+q²)² -(p²q²)²

(p²+q²)²-(pq)²

(p²+q²+pq)(p²+q²-pq)

Answer 2

Answer:

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

Step-by-step explanation:

p^4 + q^4 + p^2q^2

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

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

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