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Factorize completely X2+2XY+Y2+3X+3Y-18

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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 is A

x2+2xy+y2+3x+3y18

x2+2xy+3x+y2+3y18

x2+2xy3x+6x+y23y+6y18

x2+2xy3x+y23y+6x+6y18

x2+xy3x+xy+y23y+6x+6y18

x(x + y - 3) + y(x + y - 3) + 6(x + y - 3)

= (x + y - 3)(x + y + 6)

= (x + y + 6)(x + y -3)