can someone explain to me why (2z+5)/2(z+5) simplifies to 1/2?

Question

anonymous · Answer

Are you working with limits

anonymous · Answer

Like non-permissible values? yes. the original equation was:
$$\frac{ 4z^2-25 }{ 2z^2-13z+20 }\times \frac{ z-4 }{ 4z+10 }$$
I simplified it to:
$$\frac{ 2z+5 }{ 2(z+5) }$$
but the answer says it's 1/2 and i'm not sure how to get there?

anonymous · Answer

@jdoe0001 can probably help you. lol

jdoe0001 · Answer

you can't

jdoe0001 · Answer

hmm.... maybe there's more context.... thus it comes down to 1/2... but $\bf \cfrac{2z+5}{2(z+5)}$   doesn't simplify further as far as I can tell

jdoe0001 · Answer

as OrionsBelt said... if it's say $\bf lim_{z\to 0}$   then yes, you'd end up with $\bf \cfrac{1}{2}$

anonymous · Answer

thanks