How we get the last equation???

Dear Student,

$$\begin{gathered} Assuming that you are asking about \text{'} f\left(x\right)-f\left(c\right) = \frac{f\left(x\right)-f\left(c\right)}{x-c}\left(x-c\right) \\ in last equation, \\ f\left(x\right) - f\left(c\right) = \left(f\left(x\right) - f\left(c\right)\right)\times \frac{\left(x-c\right)}{\left(x-c\right)} = \frac{f\left(x\right)-f\left(c\right)}{x-c}\left(x-c\right) \end{gathered}$$

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