2017
Mathematics
JAMB
Factorize completely X2 +2XY+Y2 +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 Answer: (x + y + 6)(x + y -3)
Explanation
x2 +2xy + y2 + 3x + 3y − 18 x2 +2xy + 3x + y2 + 3y − 18 x2 + 2xy − 3x +6x + y2 −3y +6y−18 x2 + 2xy − 3x + y2 − 3y + 6x +6y − 18 x2 +xy − 3x + xy + y2 − 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)
x2 +2xy + y2 + 3x + 3y − 18 x2 +2xy + 3x + y2 + 3y − 18 x2 + 2xy − 3x +6x + y2 −3y +6y−18 x2 + 2xy − 3x + y2 − 3y + 6x +6y − 18 x2 +xy − 3x + xy + y2 − 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)THIS WEEK's
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