What is the standard form of # y= (2x-3)(x+7)(-3x-2)#?

1 Answer
Jul 8, 2017

#y=-6x^3-37x^2+41x+42#

Explanation:

Multiply the first two expressions using the FOIL method.
#(2x-3)(x+7)#
#2x^2+14x-3x-21# ---> combine like terms
#2x^2+11x-21#

Here is what you have now: #y=(2x^2+11x-21)(-3x-2)#

Using the same method as before, multiply the expressions together.
#(2x^2+11x-21)(-3x-2)#
#-6x^3-33x^2+63x-4x^2-22x+42# ---> combine like terms
#-6x^3-37x^2+41x+42#

Your final answer is #y=-6x^3-37x^2+41x+42#.

I hope this helps a lot! :)