Question

Factorize: P2 + 2pq+q? – x2 + 2xy - y2.​

Answer 1

Answer:

We need to factorise (p

2

−2pq+q

2

)−r

2

We have (p

2

−2pq+q

2

)−r

2

=(p−q)

2

−r

2

By using (a

2

−b

2

)=(a−b)(a+b)

Here a=(p−q),b=r

Therefore, (p

2

−2pq+q

2 )−r 2 =(p−q−r)(p−q+r)

Hence, factors are (p−q−r)(p−q+r).

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