Question

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

Answer 1

`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! :)