Simplify:
$\begin{matrix} (3 x + 2 y - 9) (2 x - 6 y + 2) - [(4 x - 9 y - 1) + (- 3 x + 8 y + 7)] \end{matrix}$

6 x^{2} - 14 x y - 12 y^{2} - 13 x + 59 y - 24

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6 x^{2} - 12 x y - 18 y^{2} - 17 x + 61 y - 29

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8 x^{2} - 14 x y - 12 y^{2} - 13 x + 57 y - 24

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8 x^{2} - 14 x y - 12 y^{2} - 17 x + 61 y - 29

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Solution

The correct option is A $6 x^{2} - 14 x y - 12 y^{2} - 13 x + 59 y - 24$
$(3 x + 2 y - 9) (2 x - 6 y + 2) - [(4 x - 9 y - 1) + (- 3 x + 8 y + 7)]$
$= (6 x^{2} - 18 x y + 6 x + 4 x y - 12 y^{2} + 4 y - 18 x + 54 y - 18) - (4 x - 9 y - 1 - 3 x + 8 y + 7)$
$= (6 x^{2} - 12 y^{2} - 14 x y - 12 x + 58 y - 18) - (x - y + 6)$
$= 6 x^{2} - 12 y^{2} - 14 x y - 12 x + 58 y - 18 - x + y - 6$
$= 6 x^{2} - 12 y^{2} - 14 x y - 13 x + 59 y - 24$

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Similar questions

Q. Simplify :

(3 x + 2 y - 9) (2 x - 6 y + 2) - [(4 x - 9 y - 1) + (- 3 x + 8 y + 7)]

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Simplify:(3x+2y−9)(2x−6y+2)−[(4x−9y−1)+(−3x+8y+7)]

Simplify:
$\begin{matrix} (3 x + 2 y - 9) (2 x - 6 y + 2) - [(4 x - 9 y - 1) + (- 3 x + 8 y + 7)] \end{matrix}$