Question

Determine whether each partial fraction decomposition is correct by graphing the left side and the right side of the equation on the same coordinate axes and observing whether the graphs coincide.

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} (x^3-7x)/((x^2+7x+7)^2)=\frac{}x-2{}x^2+7x+7+\frac{}21{}(x^2+7x+7)^2 \\ \end{gathered}`

Let's proceed to graph these partial equations, we have:

Therefore, the graphs do not coincide