Question

Rewrite 24x-12 using the distributive property. Give 8 equivalent expressions.

Answer 1

Given the expression:

`24x-12`

We want to rewrite it using the distributive property.

`\begin{gathered} 24x-12=2(12x-6) \\ 24x-12=3\left(8x-4\right) \\ 24x-12=4\left(6x-3\right) \\ 24x-12=6\left(4x-2\right) \\ 24x-12=12\left(2x-1\right) \\ 24x-12=1\left(24x-12\right) \end{gathered}`

We can also have:

`\begin{gathered} 24x-12=8(3x-1.5) \\ 24x-12=24(x-0.5) \end{gathered}`

These are 8 equivalent forms of the given expressions.