Question

What is the simplest form of the expression below? f 2 − 25 5 × f f − 5

Answer 1

(f^2 - 25)/5 * f/(f-5)

Factor the difference of squares:
(f-5)(f+5)/5 * f/(f-5)

Cancel "f-5" from numberator and denominator:
(f+5)/5 * f/1

Multiply fractions:
f(f+5)/5


Since this doesn't match any of the answers,
we should distribute the "f" in the numerator:
(f^2+5f)/5

Thus, the best answer of the selection is:

(B) (f^2-5f)/5