How do you simplify #-8 ( -1/8p + q )+ 1/9 ( 63p - 9q ) #?

1 Answer
Jun 15, 2018

#8p-9q#

Explanation:

#"each term in the bracket is multiplied by the value outside"#
#"the bracket"#

#color(blue)"first bracket"#

#color(red)(-8)(-1/8p+q)#

#=(-cancel(color(red)(8))xx-1/cancel(8)p)+(color(red)(-8)xxq)#

#=p-8q#

#color(blue)"second bracket"#

#color(red)(1/9)(63p-9q)#

#=(1/cancel(color(red)(9))xxcancel(63)^7 p)+(1/cancel(color(red)(9))xx-cancel(9)q)#

#=7p-q#

#"putting the 2 expansions together"#

#p-8q+7p-q=8p-9q#