Question

5 p q ( p ^ { 2 } - q ^ { 2 } ) \div 2 p ( p + q )​

Answer 1

Answer:5pq(p2-q2)÷2p(p+q).

As we know that a2-b2 = (a-b)(a+b).

Applying same to p2-q2 = (p+q)(p-q).

Now expanding and dividing.

5pq(p2-q2)÷ 2p(p+q).

5pq(p+q)(p-q)/2p(p+q).

p(p+q) will be cancelled out from numerator and denominator, leaving values

5q(p-q)/2.

Or we can also write it as,

5/2pq-5/2q2.

Hope it helps.

Step-by-step explanation: