Question

which property is illustrated by the equation 3(x+4) = 3x+12

Explain why as well please.

A: associate property of addition
B: commutative property of addition
C: distributive property of multiplication over addition
D: transitive property of equality

Answer 1

Answer - C
Explanation - It is distributive property of multiplication over addition because you are distributing the 3 to the x and 4 which equals 3x+12.

Answer 2

The property that illustrated the given equation 3(x+4) = 3x + 12 is the distributive property of multiplication over addition

Given the integer value A, B and C, according to the distributive law;

A(B + C) = AB + AC

Given the expression;

3(x + 4)

On comparing, we can see that A = 3, B = x and C = 4

Applying the distributive law;

3(x + 4) = 3(x) + 3(4) = 3x + 12

Hence the property that illustrated the given equation 3(x+4) = 3x + 12 is the distributive property of multiplication over addition

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