Question
What is the name of the following expression?
a (b + c) = ab + ac
- Commutative property
- Associative property
- Distributive property
- Closure property
Hint:
We are given an algebraic expression. An algebraic expression can consist of variables and constants. A variable doesn’t have a fixed value. A constant is a quantity with a fixed value. In the question, the expression is rearranged and we are asked to identify the property that caused the rearrangement.
The correct answer is: Distributive property
The given equation is a(b + c) = ab + ac
Let’s consider the L.H.S
The terms inside the brackets are unlike terms so we cannot operate them further.
But we have expanded the L.H.S to get value write on R.H.S. We have multiplied ‘a’ to both the terms inside the bracket.
Such property is called as distributive property.
Distributive property means the quantity outside the bracket, or in other words, quantity in multiplication with bracket is equally distributed to the terms inside the bracket.
So the right answer is distributive property.
For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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For such questions, we should be familiar with the different properties required to perform algebraic expression. At the same time we should know the basic rules of operations of algebraic expression.
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