Respuesta :
The equivalent expression is [tex]-6 \rm x-9[/tex].
We have to determine
Which expression is equivalent to [tex]\rm -9 \left ( \dfrac{2}{3}x +1 \right ) [/tex]?
According to the question
Expression; [tex]\rm -9 \left ( \dfrac{2}{3}x +1 \right ) [/tex]
To solve the given expression follow all the steps given below.
By applying the distributive property of multiplication;
[tex]\rm a(b+c) = ab+ ac[/tex]
Then,
The equivalent expression is,
[tex]\rm = -9 \left ( \dfrac{2}{3}x +1 \right ) \\ \\ = (-9) \times \dfrac{2}{3}x+(-9)(1)\\ \\ = (-3) 2x + (-9)\\ \\ = -6x-9[/tex]
Hence, the equivalent expression is [tex]-6 \rm x-9[/tex].
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