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Select the expressions that are equivalent to $6(r + 8)$ . $\newline$ Multi-select Choices: $\newline$ (A) $48r + 6$ $\newline$ (B) $8(6 + r)$ $\newline$ (C) $(r \times 8)6$ $\newline$ (D) $6r + 48$

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Multiplication with rational exponents

Full solution

Q. Select the expressions that are equivalent to

6(r + 8)

.

\newline

Multi-select Choices:

\newline

(A)

48r + 6

\newline

(B)

8(6 + r)

\newline

(C)

(r \times 8)6

\newline

(D)

6r + 48

Distribute $6$ : Step $1$ : Distribute $6$ to each term inside the parentheses. $\newline$ Calculation: $6(r + 8) = 6r + 6\times8 = 6r + 48$
Compare with choices: Step $2$ : Compare the result with each choice. $\newline$ Calculation: $\newline$ (A) $48r + 6 \neq 6r + 48$ $\newline$ (B) $8(6 + r) = 48 + 8r \neq 6r + 48$ $\newline$ (C) $(r \times 8)6 = 8r \times 6 = 48r \neq 6r + 48$ $\newline$ (D) $6r + 48 = 6r + 48$

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