Question

Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.

Answer 1

`12x + 24 = 2(6x + 12)`

`12x + 24 = 3(4x + 8)`

`12x + 24 = 4(3x + 6)`

`12x + 24 = 6(2x + 4)`

`12x + 24 = 12(x + 2)`

Explanation:

Given

`12x + 24`

Required

Equivalent expressions

No option were given; So, I will list out some possible equivalent expressions.

Using distributive property:

`AB + AC = A*(B + C)`

So, we have:

`12x + 24 = 2*6x + 2 * 12`

`12x + 24 = 2(6x + 12)` ----- (1)

Another:

`12x + 24 = 3*4x + 3 * 8`

`12x + 24 = 3(4x + 8)`

Another:

`12x + 24 = 4*3x + 4*6`

`12x + 24 = 4(3x + 6)`

Another:

`12x + 24 = 6*2x + 6*4`

`12x + 24 = 6(2x + 4)`

Another:

`12x + 24 = 12*x + 12*2`

`12x + 24 = 12(x + 2)`