Question

3. Simplify.
a) 5x + 2(x - y)
b) 3a - 2b + 4a - 9b
c) 2(x - y) + 3(x - y)

Answer 1

`a)\:5x+2\left(x-y\right)`

`\longmapsto`
`5x+2x-2y`

`\longmapsto`
`7x-2y`

_____________________

`b)\:3a - 2b + 4a - 9b`

`\longmapsto`
`3a+4a-2b-9b`

`\longmapsto`
`7a-11b`

____________________

`c)\:2(x - y) + 3(x - y)`

`\longmapsto`
`2x-2y+3x-3y`

`\longmapsto`
`5x-2y-3y`

`\longmapsto`
`5x-5y`

______________________

Answer 2

a. 7x-2y
b. 7a-11b
c. x-y