How do you multiply $(x-1) (x+4) (x-3)$ ?

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Answer 1 · 2015-04-18T11:49:01

Multiply the terms two at a time:
$(x-1)(x+4)$
$=(x-1)*x+(x-1)*4$

$=x^2-x+4x-4$

$=x^2+3x-4$

therefore
$(x-1)(x+4)(x-3)$
$=(x^2+3x-4)(x-3)$

$=(x^2+3x-4)*x - (x^2+3x-4)*3$

$=(x^3+3x^2-4x) - (3x^2+9x-12)$

$=x^3-13x+12$

How do you multiply (x-1) (x+4) (x-3)(x-1) (x+4) (x-3)?