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

(1)/(2)(2a-6b+8)=

Distribute to create an equivalent expression with the fewest symbols possible. $\newline$ $\frac{1}{2}(2 a-6 b+8)=$

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Negative Exponents

Full solution

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

\newline

\frac{1}{2}(2 a-6 b+8)=

Identify terms inside parentheses: Identify the terms inside the parentheses that will be distributed by the fraction $(\frac{1}{2})$ . $\newline$ In the expression $(\frac{1}{2})(2a-6b+8)$ , we have three terms inside the parentheses: $2a$ , $-6b$ , and $+8$ .
Distribute fraction $\frac{1}{2}$ : Distribute the fraction $\frac{1}{2}$ to each term inside the parentheses. $\newline$ We will multiply each term by $\frac{1}{2}$ . $\newline$ $\frac{1}{2} \times 2a = a$ $\newline$ $\frac{1}{2} \times (-6b) = -3b$ $\newline$ $\frac{1}{2} \times 8 = 4$
Combine results for equivalent expression: Combine the results to write the equivalent expression. $\newline$ The equivalent expression is $a - 3b + 4$ .

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