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

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

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Answer 1 · 2018-05-22T06:03:43

$6 x^{2} - 5 x - 6$ $6x^2-5x-6$

Explanation:

$each term in the second bracket is multiplied by each$ $"each term in the second bracket is multiplied by each"$
$term in the first bracket$ $"term in the first bracket"$

$\Rightarrow (3 x + 2) (2 x - 3)$ $rArr(color(red)(3x+2))(2x-3)$

$= 3 x (2 x - 3) + 2 (2 x - 3) \leftarrow distribute$ $=color(red)(3x)(2x-3)color(red)(+2)(2x-3)larrcolor(blue)"distribute"$

$= (3 x \times 2 x) + (3 x \times - 3) + (2 \times 2 x) + (2 \times - 3)$ $=(color(red)(3x)xx2x)+(color(red)(3x)xx-3)+(color(red)(2)xx2x)+(color(red)(2)xx-3)$

$= 6 x^{2} - 9 x + 4 x - 6 \leftarrow collect like terms$ $=6x^2color(blue)(-9x)color(blue)(+4x)-6larrcolor(magenta)"collect like terms"$

$= 6 x^{2} - 5 x - 6$ $=6x^2-5x-6$

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

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