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

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Answer 1 · 2018-07-21T16:05:04

$x^2-5x+6$

We can use the highly useful mnemonic FOIL (Firsts, Outsides, Insides, Lasts). This is the order we multiply in. We get

Putting it all together, we get

$x^2-3x-2x+6$ , or $x^2-5x+6$

Hope this helps!

Answer 2 · 2018-07-21T16:09:31

$x^2-5x+6$

$(x-2)(x-3)$

$=(x-2)\cdot x-(x-2)\cdot 3$

$=x^2-2x-3x+6$

$=x^2-5x+6$

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