Question

factories 1-p^2 + 2pq - q^2​

Answer 1

We need to factorise (p2−2pq+q2)−r2

We have (p2−2pq+q2)−r2=(p−q)2−r2

By using (a2−b2)=(a−b)(a+b)

Here a=(p−q),b=r

Therefore, (p2−2pq+q2)−r2=(p−q−r)(p−q+r)

Hence, factors are (p−q−r)(p−q+r).