Factorize completely the expression (abx^2 + 6y – 3ax – 2byx)
-
A.
(ax – 2y)(bx – 3) -
B.
(bx + 3)(2y – ax) -
C.
(bx + 3)(ax – 2y) -
D.
(ax – 2y)(ax – b)
Correct Answer: Option A
Explanation
(abx^{2} + 6y – 3ax – 2byx)
Collecting like terms, we have
(abx^{2} – 3ax + 6y – 2byx)
= (ax(bx – 3) + 2y(3 – bx))
= (ax(bx – 3) – 2y(bx – 3))
= ((ax – 2y)(bx – 3))