Question

how to simplify (x-1)(x-2)(x-3)​

Answer 1

Answer:

➡Here's your answer

${x}^{2} - 2x - x + 2(x - 3) \\ \\ {x}^{2} - 3x + 2(x - 3) \\ \\ x( {x}^{2} - 3 x + 2) - 3( {x}^{2} + 3x + 2) \\ \\ {x}^{3} - 3 {x}^{2} + 2x - 3 {x}^{2} - 9x - 6 = 0 \\ \\ {x}^{3} - 6 {x}^{2} - 7x - 6 = 0$

Hope it helps ✌

Answer 2

x3−6x2+11x−6

Explanation:

one way is as follows

note that

(x+a)(x+b)(x+c)=x3+

(a+b+c)x2+(ab+bc+ac)x+abc

here

a=−1,b=−2and c=−3

⇒(x−1)(x−2)(x−3).=x3+(−1−2−3)x2+(2+6+3)x+(−1)(−2)(−3)

=x^3−6x^2+11x−6