Question

Which expression is equivalent to 2(12x - 18), 3(8x - 12), and 4(6x - 9)

Answer 1

`3(8x-12)`

`4(6x-9)`

Both expressions are equivalent

Explanation:

we have

`2(12x-18)`

Applying the distributive property

`2(12x-18)=2*12x-2*18=24x-36`

so

Verify each case

case A)
`3(8x-12)`

`3(8x-12)=3*8x-3*12=24x-36`

The expression is equivalent

case B)
`4(6x-9)`

`4(6x-9)=4*6x-4*9=24x-36`

The expression is equivalent