Question

(p + 4) (p - 11) Factorisation of Algebraic expressions​

Answer 1

Answer:

(p2 – q2 – 3pq)(p2 – q2 + 3pq)

Step-by-step explanation:

Answer :

Given, p4 – 11p2q2 + q4

⇒ (p2)2 – 11p2q2 + (q2)2

⇒ (p2)2 – 2p2q2 – 9 p2q2 + (q2)2

⇒ (p2)2 – 2p2q2 + (q2)2 – 9 p2q2

⇒ (p2 – q2)2 – (3pq)2

⇒ ((p2 – q2) – 3pq)((p2 – q2) + 3pq)

⇒ (p2 – q2 – 3pq)(p2 – q2 + 3pq)