Factorize r2 – r(2p + q) + 2pq
-
A.
(r – 2q)(2r – p) -
B.
(r – p)(r + p0 -
C.
(r – q)(r – 2p) -
D.
(2r – q)(r + p)
Correct Answer: Option C
Explanation
r2 – r(2p + q) + 2pq = r2 – 2pr -qr + 2pq
= r(r – 2p) – q(r – 2p)
= (r – q)(r – 2p)
r2 – r(2p + q) + 2pq = r2 – 2pr -qr + 2pq
= r(r – 2p) – q(r – 2p)
= (r – q)(r – 2p)