MCQ
Simplify: $(3x + 2y - 9) (2x - 6y + 2) - [(4x - 9y - 1) + (-3x + 8y + 7)]$
  • $6x^2 - 14xy - 12y^2 - 13x + 59y - 24$
  • B
    $6x^2 - 12xy - 189 - 17x + 61y - 29$
  • C
    $8x^2 - 14xy - 12y^2 - 13x + 57y - 24$
  • D
    $8x^2 - 14xy - 12y^2 - 17x + 61y - 29$

Answer

Correct option: A.
$6x^2 - 14xy - 12y^2 - 13x + 59y - 24$

$(3x + 2y - 9) (2x - 6y + 2) - [(4x - 9y - 1) + (-3x + 8y + 7)]$
$= (6x^2 - 18xy + 6x + 4xy + 4y - 12y^2 - 18x + 54y - 18) -[4x - 9y - 1 - 3x + 8y + 7]$
$=6x^2 - 14xy - 12y^2 - 13x + 59y - 24$

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