The factor of 4p2 + q2 + 16 4pq + 8q 16p is: (A) ( - Maths - Algebraic Expressions

Question

The factor of 4p2 + q2 + 16 – 4pq + 8q
– 16p is:
(A) (– 2p â€‹– q + 4)
(â€‹– 2p + q + 4)
(B) (2p + q + 4) (2p + q + 4)
(C) (â€‹– 2p + q + 4)
(â€‹– 2p + q + 4)
(D) (â€‹– 2p + q – 4) (– 2p + q
â€‹– 4)

Manbar Singh · Accepted Answer

4p2 + q2 + 16 - 4pq + 8q - 16p=-2p2 + q2 + 42 + 2-2pq + 2q4 + 24-2p=-2p + q + 42=-2p + q + 4-2p + q + 4Using identity :a2+b2+c2+2ab+2bc+2ca = a+b+c2 = a+b+ca+b+c

The factor of 4p2 + q2 + 16 – 4pq + 8q – 16p is: (A) (– 2p ​– q + 4) (​– 2p + q + 4) (B) (2p + q + 4) (2p + q + 4) (C) (​– 2p + q + 4) (​– 2p + q + 4) (D) (​– 2p + q – 4) (– 2p + q ​– 4)

The factor of 4p² + q² + 16 – 4pq + 8q – 16p is:
(A) (– 2p – q + 4) (– 2p + q + 4)
(B) (2p + q + 4) (2p + q + 4)
(C) (– 2p + q + 4) (– 2p + q + 4)
(D) (– 2p + q – 4) (– 2p + q – 4)