Factorize completely x2 12xy y 3x 3y - 18 - JAMB Mathematics 2017 Question
Factorize completely x2 + 12xy + y + 3x + 3y - 18
A
(x + y + 6)(x + y -3)
B
(x - y - 6)(x - y + 3)
C
(x - y + 6)(x - y - 3)
D
(x + y - 6)(x + y + 3)
correct option: a
x + 2xy + y + 3x + 3y - 18
x + 2xy + 3x + y + 3y -18
x + 2xy - 3x + 6x + y -3y + 6y -18
x + 2xy -3x + y -3y + 6x + 6y -18
x + xy -3x + xy + y - 3y + 6x + 6y -18
x(x + y - 3) + y(x + y - 3) + 6(x + y - 3)
= (x + y - 3)(x + y + 6)
= (x + y + 6)(x + y -3)
x + 2xy + 3x + y + 3y -18
x + 2xy - 3x + 6x + y -3y + 6y -18
x + 2xy -3x + y -3y + 6x + 6y -18
x + xy -3x + xy + y - 3y + 6x + 6y -18
x(x + y - 3) + y(x + y - 3) + 6(x + y - 3)
= (x + y - 3)(x + y + 6)
= (x + y + 6)(x + y -3)
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