Middle School

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Write an expression that is equivalent to [tex]\frac{2}{3}(4x + 9)[/tex].

A. [tex]\frac{8}{3}x + 6[/tex]
B. [tex]\frac{8}{3}x + 9[/tex]
C. [tex]\frac{2}{3}x + 6[/tex]
D. [tex]\frac{2}{3}x + 9[/tex]

Answer :

Answer:

[tex]\large\boxed{\dfrac{2}{3(4x+9)}=\dfrac{2}{12x+27}}[/tex]

Step-by-step explanation:

"two over three (4x + 9)":

[tex]\dfrac{2}{3(4x+9)}[/tex]

use the distributive property a(b+c) = ab + ac

[tex]=\dfrac{2}{(3)(4x)+(3)(9)}=\dfrac{2}{12x+27}[/tex]

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