Question

I Expandts implity:(x+2)(-4x2+3X-9 +x)

Answer 1

`x^5+2x^4-4x^3-5x^2-3x-18^{}_{}`

1) Let's expand this expression below, distributing the factors (as FOIL technique):

`\begin{gathered} (x+2)(-4x^2+3x-9+x^4) \\ -4x^3+3x^2-9x+x^5-8x^2+6x-18+2x^4 \end{gathered}`

2) Combining like terms we have:

`\begin{gathered} -4x^3+3x^2-9x+x^5-8x^2+6x-18+2x^4 \\ x^5+2x^4-4x^3+3x^2-8x^2+6x-9x-18 \\ x^5+2x^4-4x^3-5x^2-3x-18^{}_{} \end{gathered}`

3) Hence, the expanded form is the one above, with all the simplifications.