Respuesta :

PsychrolutesMarcidus
=[tex] \frac{3}{8}(16x-24) [/tex]
=3(2x-3)
=6x-9

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

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

[tex]E=\dfrac{3}{8}(16x-24)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

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

[tex]a(b+c)=ab+ac.[/tex]

So, from expression (i), we get

[tex]E\\\\\\=\dfrac{3}{8}(16x-24)\\\\\\=\dfrac{3}{8}\times16x-\dfrac{3}{8}\times24\\\\=6x-9.[/tex]

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

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