# wget https://dl-ssl.google.com/dl/linux/direct/mod-pagespeed-stable_current_x86_64.rpm

# rpm -ivh --nodeps  mod-pagespeed-stable_current_x86_64.rpm

# nano /etc/httpd/conf/extra/httpd-includes.conf

#Google PageSpeed Module

Include /etc/httpd/conf.d/pagespeed.conf 

# nano /etc/httpd/conf/httpd.conf

#Include conf/extra/httpd-deflate.conf

# service httpd restart

# apachectl -t -D DUMP_MODULES | grep pagespeed 

 pagespeed_module (shared)
Syntax OK