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{ }(f^2-25)/(5)\cdot(f)/(f-5) \\ \text{ }(f^2-25)/(5)\cdot(f)/(f-5)=((f^2-25)\cdot f)/(5(f-5)) \\ =(f^3-25f)/(5(f-5))=(f(f^2-25))/(5(f-5))=(f(f+5)(f-5))/(5(f-5))=(f(f+5))/(5)=(f^2+5f)/(5) \\ \end{gathered}`

so, the answer is B)

`B)(f^2+5f)/(5)`

I really hope this helps you