Question

Factorize the polynomial –r2 + p2 + q2 - 2pq.​

Answer 1

Answer:

Correct option is

A

(p−q−r)(p−q+r)

Given polynomial,

−r

2

+p

2

+q

2

−2pq

=(p−q)

2

−r

2

[∵(a−b)

2

=a

2

+b

2

−2ab]

=(p−q−r)(p−q+r). [∵(a

2

−b

2

)=(a−b)(a+b)]