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Select the expressions that are equivalent to $3(m + 9)$ . $\newline$ Multi-select Choices: $\newline$ (A) $(m + 9)3$ $\newline$ (B) $27m$ $\newline$ (C) $27m + 3$ $\newline$ (D) $12m$

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Simplify rational expressions

Full solution

Q. Select the expressions that are equivalent to

3(m + 9)

.

\newline

Multi-select Choices:

\newline

(A)

(m + 9)3

\newline

(B)

27m

\newline

(C)

27m + 3

\newline

(D)

12m

Distribute $3$ to terms: Step $1$ : Distribute $3$ to each term inside the parentheses. $\newline$ Calculation: $3(m + 9) = 3m + 27$
Compare with choices: Step $2$ : Compare the result with each choice. (A) $(m + 9)3$ is the same as $3(m + 9)$ by the commutative property of multiplication.

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