Question

Choose the option that properly uses the distributive property for the following expression.
-1/3(6x+2)

A: 6x-2/3
B: 2x+2/3
C: -2x-2/3
D: -2x+2

Answer 1

$\huge\text{Hey there!}$

$\mathsf{-\dfrac{1}{3}(6x + 2)}\\\\\\\mathsf{DISTRIBUTE \ (-\dfrac{1}{3})\ within\ the\ PARENTHESES}\\\\\\\mathsf{= -\dfrac{1}{3}(6x)+-\dfrac{1}{3}(2)}\\\\\\\mathsf{-\dfrac{1}{3}(6x)=-2x}\\\\\\\mathsf{-\dfrac{1}{3}(2) = \dfrac{-2}{3}}\\\\\\\mathsf{= -2x + - \dfrac{-2}{3}}$

$\boxed{\boxed{\mathsf{Answer: \bf -2x - \dfrac{2}{3}\ (Option\ C.)}}}\huge\checkmark$

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