How do you simplify $(3 x + 2) (2 x - 3)$ $(3x + 2)(2x -3)$ ?

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Answer 1 · 2015-09-23T16:32:17

$= 6 x^{2} - 5 x - 6$ $= color(blue)(6x^2 -5x - 6$

$(3 x + 2) \cdot (2 x - 3)$ $color(blue)((3x+2)) * (2x−3)$

Both terms of the first bracket are multiplied with both terms of the second bracket.

$= (3 x) \cdot (2 x - 3) + (2) \cdot (2 x - 3)$ $= color(blue)((3x)) * (2x−3)+ color(blue)((2)) * (2x-3)$

$= 6 x^{2} - 9 x + 4 x - 6$ $= 6x^2 -9x +4x - 6$

$= 6 x^{2} - 5 x - 6$ $= color(blue)(6x^2 -5x - 6$

How do you simplify (3x + 2)(2x -3) (3x+2)(2x−3)(3x + 2)(2x -3) ?