Question

Find the difference by subtracting the second polynomial from the first.-3x+x^3-2x^2 and 4x^3-2x^2-4x

Answer 1

So,

We're going to substract:

$(-3x+x^3-2x^2)-(4x^3-2x^2-4x)$

It is important to notice that the negative sign outside the parentheses changes all the signs of the terms inside of it. Then,

$\begin{gathered} (-3x+x^3-2x^2)-(4x^3-2x^2-4x) \\ (-3x+x^3-2x^2)-4x^3+2x^2+4x \end{gathered}$

Now, we could sum all the similar terms:

$\begin{gathered} -3x+x^3-2x^2-4x^3+2x^2+4x \\ =-3x^3+x \end{gathered}$