Simplify the expression: (2z)(3) = _____

Multiply Coefficient by Variable: We need to multiply the coefficient outside the parentheses by the variable inside the parentheses. This is an application of the distributive property of multiplication over addition, even though there is no addition here. The calculation is as follows: (2z)(3) = 2z * 3.Perform Multiplication: Now, we multiply the numbers together. Since 2z means 2 times z, and we are multiplying that by 3, we have 2 * 3 * z. The multiplication of 2 and 3 gives us 6, so we have 6z.

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Simplify the expression: $\newline$ $(2z)(3) =$ _____

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify the expression:

\newline

(2z)(3) =

_____

Multiply Coefficient by Variable: We need to multiply the coefficient outside the parentheses by the variable inside the parentheses. This is an application of the distributive property of multiplication over addition, even though there is no addition here. The calculation is as follows: $(2z)(3) = 2z \times 3$ .
Perform Multiplication: Now, we multiply the numbers together. Since $2z$ means $2$ times $z$ , and we are multiplying that by $3$ , we have $2 \times 3 \times z$ . The multiplication of $2$ and $3$ gives us $6$ , so we have $6z$ .