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

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

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Answer 1 · 2018-05-18T08:53:45

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

Explanation:

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

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

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

$= (x \times x) + (x \times 3) + (2 \times x) + (2 \times 3)$ $=(color(red)(x)xx x)+(color(red)(x)xx3)+(color(red)(2)xx x)+(color(red)(2)xx3)$

$= x^{2} + 3 x + 2 x + 6 \leftarrow collect like terms$ $=x^2color(magenta)(+3x)color(magenta)(+2x)+6larrcolor(blue)"collect like terms"$

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

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

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