What expression is equal to \(12m + 12n\)?

A. \(12mn\)
B. \(12m + n\)
C. \(12m - 12n\)
D. \(12(m + n)\)

Please explain your choice.

To check equality we can try transform info correct form.
First, we can take 12 in front of parenthesis. 12m+12n=12(m+n) We can do this because factor in front of paranthesis mean that all argument from paranthesis are multiplied by this factor. We cant say that 12m+12n is equal to 12mn because we cant multiply m ∗ n here. 12m-12n is not correct too.

Answered by macio06 | 2024-06-10

In mathematics, the expression equal to 12m+12n is 12(m+n), which simplifies to 12m + 12n by distributing. Therefore, option D is the correct answer. This concept demonstrates the distributive property in algebra.
12(m+n) is equal to 12m + 12n. This is because when distributing 12 into the terms inside the parentheses, you get 12m + 12n.

Answered by AnnuG | 2024-06-24

The expression 12 m + 12 n can be factored to become 12 ( m + n ) . Among the provided options, choice D, 12 ( m + n ) , is the correct answer. The other options do not represent the same value as the original expression.
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Answered by macio06 | 2024-10-16