Which is the expansion of 6(2 + x)?

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Multiple Choice

Which is the expansion of 6(2 + x)?

Explanation:
Distribute the outside factor to each term inside the parentheses. Multiply 6 by 2 and by x, then add the results: 6(2 + x) = 6*2 + 6*x = 12 + 6x. The expression 12 + 6x has the constant term 12 from 6·2 and the x-term 6x from 6·x. The other forms would either miss the 12, misplace the 6x, or produce a 12x term, which isn’t what you get when you distribute.

Distribute the outside factor to each term inside the parentheses. Multiply 6 by 2 and by x, then add the results: 6(2 + x) = 62 + 6x = 12 + 6x. The expression 12 + 6x has the constant term 12 from 6·2 and the x-term 6x from 6·x. The other forms would either miss the 12, misplace the 6x, or produce a 12x term, which isn’t what you get when you distribute.

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