Question

What is the simplest form of the expression below? f^2 - 25 f______ x ___ 5 f - 5

Answer 1

Step 1

we need operate.

remerber

$(a^2-b^2)=(a+b)(a-b)$

Now, do the operation

$\begin{gathered} \text{ }\frac{f^2-25}{5}\cdot\frac{f}{f-5} \\ \text{ }\frac{f^2-25}{5}\cdot\frac{f}{f-5}=\frac{(f^2-25)\cdot f}{5(f-5)} \\ =\frac{f^3-25f}{5(f-5)}=\frac{f(f^2-25)}{5(f-5)}=\frac{f(f+5)(f-5)}{5(f-5)}=\frac{f(f+5)}{5}=\frac{f^2+5f}{5} \\ \end{gathered}$

so, the answer is B)

$B)\frac{f^2+5f}{5}$

I really hope this helps you