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The distributive law states that a*(b+c) = ab + ac for any real numbers a, b, and c. To prove this, you can use the properties of real numbers and basic algebraic manipulations. One common approach is to start with the left side of the equation, expand it using the distributive property of multiplication over addition, and then simplify both sides to show that they are equal.

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For any two numbers a and b: a + b = b + a and a * b = b * a

Substitute any two numbers you like and perform the indicated operations.

There is no distributive law of subtraction or division.

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Wiki User

17y ago
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Q: How do you prove the distributive law?
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