Question

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

Answer 1

=$\frac{3}{8}(16x-24)$
=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 :

$E=\dfrac{3}{8}(16x-24)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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

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

So, from expression (i), we get

$E\\\\\\=\dfrac{3}{8}(16x-24)\\\\\\=\dfrac{3}{8}\times16x-\dfrac{3}{8}\times24\\\\=6x-9.$

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