Question

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

Answer 1

`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`