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