Unlocking htc one m8 T-Mobile

I'm looking to buy a HTC One M8 T-Mobile version, and unlocking it. I read on gsmarena.com that the frequencies that work on that phone are these.

GSM 850 / 900 / 1800 / 1900

HSDPA 850 / 1700 / 1900 / 2100 - T-Mobile

LTE band 4(1700/2100), 17(700) - T-Mobile

Now the frequencies in my country are

HSDPA 850 / 900/ 2100

LTE band 4 1800

If I unlock the phone will it be open from my LTE frequency in my country, and the 900Mhz 3g in my country,

or are the phones made for T-Mobile only work with those frequencies no matter if you unlock it or not.

Thanks in advance for all answers