Question

Expand the following:
3/8(16x-24)

Answer 1

=
`(3)/(8)(16x-24)`
=3(2x-3)
=6x-9

Answer 2

Answer: The required expanded form is 6x-9.

Step-by-step explanation: We are given to expand the following expression :

`E=(3)/(8)(16x-24)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We know that, for any real numbers a, b and c, we have

`a(b+c)=ab+ac.`

So, from expression (i), we get

`E\\\\\\=(3)/(8)(16x-24)\\\\\\=(3)/(8)*16x-(3)/(8)*24\\\\=6x-9.`

Thus, the required expanded form is 6x-9.