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Distribute to create an equivalent expression with the fewest symbols possible.

6(3c-5d+6)=

Distribute to create an equivalent expression with the fewest symbols possible. $\newline$ $6(3 c-5 d+6)=$

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Negative Exponents

Full solution

Q. Distribute to create an equivalent expression with the fewest symbols possible.

\newline

6(3 c-5 d+6)=

Apply distributive property: Apply the distributive property to multiply $6$ by each term inside the parentheses. $\newline$ The distributive property states that $a(b + c) = ab + ac$ . In this case, we have $6(3c - 5d + 6)$ , so we will distribute $6$ to each term inside the parentheses.
Multiply by first term: Multiply $6$ by the first term, $3c$ . $\newline$ $6 \times 3c = 18c$
Multiply by second term: Multiply $6$ by the second term, $-5d$ . $\newline$ $6 \times -5d = -30d$
Multiply by third term: Multiply $6$ by the third term, $6$ . $\newline$ $6 \times 6 = 36$
Combine results: Combine the results from steps $2$ , $3$ , and $4$ to write the equivalent expression. $\newline$ The equivalent expression is $18c - 30d + 36$ .

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