Respuesta :

Option D

The simplified form of given expression is [tex]12(2+\frac{2}{3}x) = 24 + 8x[/tex]

Solution:

Given that we have to simplify:

[tex]12(2+\frac{2}{3}x)[/tex]

Let us simplify the given expression

[tex]\rightarrow 12(2+\frac{2}{3}x)[/tex]

Multiply the constant outside the bracket with each term inside the bracket

[tex]\rightarrow 24 + 12 \times \frac{2x}{3}[/tex]

Simplify the above expression

[tex]\rightarrow 24 + (4 \times 2x)[/tex]

Solve for brackets. Multiply the terms inside the bracket

[tex]\rightarrow 24 + 8x[/tex]

[tex]12(2+\frac{2}{3}x) = 24 + 8x[/tex]

Thus Option D is correct