Question

Are the fractions below equivalent? Simplify and each, and then explain why or why not.

Answer 1

1) \[\frac{ x^2-x-20 }{ 4 }\frac{10}{x-5}=\frac{10(x-5)(x+4)}{4(x-5)}=\frac{5(x+4)}{2}\]

Answer 2

2)\[\frac{ 10 }{4}\frac{x^2-x-20}{x-5}=\frac{5}{2}\frac{(x-5)(x+4)}{(x-5)}=\frac{5(x+4)}{2}\]

Answer 3

as you can see both expression are equivalent