How do you multiply $(x-1)(x+2)(x-3)$ ?

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Answer 1 · 2018-03-26T20:20:05

$x^3-6x^2+11x-6$

$"one way is as follows"$

$"note that "(x+a)(x+b)(x+c)$

$=x^3+(a+b+c)x^2+(ab+bc+ac)x+abc$

$"here "a=-1, b=-2" and "c=-3$

$rArr(x-1)(x-2)(x-3)$

. $=x^3+(-1-2-3)x^2+(2+6+3)x+(-1)(-2)(-3)$

$=x^3-6x^2+11x-6$

How do you multiply (x-1)(x+2)(x-3)(x-1)(x+2)(x-3)?