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

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Answer 1 · 2018-05-14T03:24:17

$x^2 + 5x + 6$

$(x+3)(x+2)$

To simplify this, we use the distributive method called FOIL, as shown here:
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Following this image, first multiply the $color(red)("firsts")$ :
$color(red)(x * x) = x^2$

Then the $color(purple)("outsides")$ :
$color(purple)(x * 2) = 2x$

Then the $color(darkturquoise)("insides")$ :
$color(darkturquoise)(3 * x) = 3x$

And finally the $color(limegreen)("lasts")$ :
$color(limegreen)(3 * 2) = 6$

Now combine all of these:
$x^2 + 2x + 3x + 6$

We can still combine $color(blue)(2x + 3x)$ because they are like terms. Therefore, the final answer is:
$x^2 + 5x + 6$

Hope this helps!

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