Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18...
Factorize completely x2+2xy+y2+3x+3y−18.
(x+y+6)(x+y-3)
(x-y-6)(x-y+3)
(x-y+6)(x-y-3)
(x+y-6)(x+y+3)
Correct answer is A
Expand the options and collect like terms to check which gives the presented expression.
Expansion of Options A:
(x+y+6)(x+y-3) → x2+xy−3x+xy+y2−3y+6x+6y−18
Collect like terms: x2+xy+xy+y2+6x−3x+6y−3y−18
= x2+2xy+y2+3x+3y−18
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