Question

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

Answer 1

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

Explanation:

`"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`