Question

Simplify (2p+q)² - (2p-q)²

Answer 1

Answer:(2p+q)² - (2p-q)²=8pq

Step-by-step explanation:

(2p+q)^2-(2p-q)^2 = 4p^2+q^2+4pq-(4p^2+q^2-4pq)

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

                               = 8pq

Answer 2

Answer:

8pq

Step-by-step explanation:

(2p+q)2 - (2p-q)2

1. (a2+b2+2ab) - (a2+b2-2ab)
2. (2p2)+(q2)+2×2p×q - (2p2)+(q2)-2×2p×q
3. 4p2+q2+4pq - 4p2-q2+4pq
4. 4p2-4p2+q2-q2+4pq+4pq
5. 0+0+8pq
6. 8pq

after4p that is 2 is denote square

In point 5th sign is change because in Q the sign minus