Question

What is the expression obtained when the sum of 2a−16abc−45 and 2a+7abc+11 is subtracted from 6a+6abc−30?​

Answer 1

`2a+15abc+4`

Explanation:

`(2a-16abc-45)+(2a+7abc+11)`

`\implies 2a-16abc-45+2a+7abc+11`

collect and combine like terms:

`\implies 4a-9abc-34`

`(6a+6abc-30)-(4a-9abc-34)`

Apply the distributive law
`-\left(a-b\right)=-a+b`:

`\implies 6a+6abc-30-4a+9abc+34`

collect and combine like terms:

`\implies 2a+15abc+4`