Question

How to expand (x-2)(x+3)(x-A)+Bx+C

Answer 1

multiply it

Answer 2

x-2
x+3
------
x^2 -2x
+3x -6
-----------
x^2 +x -6
x-A
-----------
x^3 +x^2 -6x
-Ax^2 -Ax +6A
------------------
x^3 + (1-A)x^2 +(-6-A)x +6A

Answer 3

or in this occation you would use Factor

Answer 4

enjoy. are you supposed to collect terms when you are done?

Answer 5

\[-A x^2-A x+6 A+B x+C+x^3+x^2-6 x\]