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

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

`\text{Good luck on your assignment and enjoy your day!}`

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