Which equation shows the distributive property of multiplication? Choices: (A)c · d · f = g (B)c · (d · f) = (c · d) · f (C)0 = c · 0 (D)c · d − c · f = c · (d − f)

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Which equation shows the distributive property of multiplication?    Choices: (A)c · d · f = g (B)c · (d · f) = (c · d) · f (C)0 = c · 0 (D)c · d − c · f = c · (d − f)

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Identify Property: Identify the distributive property of multiplication. The distributive property of multiplication over addition or subtraction is expressed as a * (b + c) = a * b + a * c or a * (b - c) = a * b - a * c. This property allows us to multiply a single term by each term inside a set of parentheses.Analyze Choice (A): Analyze each choice to see which one represents the distributive property. (A) c · d · f = g does not show the distributive property because there is no addition or subtraction within the parentheses that is being distributed.Analyze Choice (B): Analyze choice (B). (B) c · (d · f) = (c · d) · f does not show the distributive property because it is an example of the associative property of multiplication, where the grouping of the factors does not affect the product.Analyze Choice (C): Analyze choice (C). (C) 0 = c · 0 does not show the distributive property because it is an example of the multiplication property of zero, which states that any number multiplied by zero is zero.Analyze Choice (D): Analyze choice (D). (D) c · d − c · f = c · (d − f) does show the distributive property because it demonstrates that multiplying c by the difference of d and f is the same as multiplying c by d and then subtracting the product of c and f.

Which equation shows the distributive property of multiplication? $\newline$ Choices: $\newline$ (A) $c \cdot d \cdot f = g$ $\newline$ (B) $c \cdot (d \cdot f) = (c \cdot d) \cdot f$ $\newline$ (C) $0 = c \cdot 0$ $\newline$ (D) $c \cdot d - c \cdot f = c \cdot (d - f)$

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