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Select the expressions that are equivalent to $6(u + 5)$ . $\newline$ Multi-select Choices: $\newline$ (A) $(u \cdot 5)6$ $\newline$ (B) $30u + 6$ $\newline$ (C) $6u + 30$ $\newline$ (D) $30u$

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Simplify rational expressions

Full solution

Q. Select the expressions that are equivalent to

6(u + 5)

.

\newline

Multi-select Choices:

\newline

(A)

(u \cdot 5)6

\newline

(B)

30u + 6

\newline

(C)

6u + 30

\newline

(D)

30u

Distribute $6$ : Step $1$ : Distribute $6$ to each term inside the parentheses. $\newline$ Calculation: $6(u + 5) = 6u + 30$
Compare with choices: Step $2$ : Compare the result with each choice. $\newline$ (A) $u \times 5$ $6$ = $30$ u (Incorrect, does not match $6u + 30$ ) $\newline$ (B) $30u + 6$ (Incorrect, does not match $6u + 30$ ) $\newline$ (C) $6u + 30$ (Correct, matches $6u + 30$ ) $\newline$ (D) $30u$ (Incorrect, does not match $6u + 30$ )

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