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Maths > Algebraic Expressions and Identities

Algebraic Expressions and Identities

During your summer holidays, you decide to visit the USA. And your parents tell you to plan the entire trip, how do you do it? How do you set a budget? How do you plan all the road trips? We use simply use Algebra! Amazing isn’t it? But do you know what is algebra and algebraic expressions? What are algebraic identities? Let us know more.

FAQs on Algebraic Expressions and Identities

Question 1: Can we say that all identities are equations?

Answer: When an equation turns out to be satisfying for all values of variable forming the expressions, experts term it as an identity. Therefore, identity is an equation’s special case. In other words, all identities happen to be equations but not all equations are identities.

Question 2: Explain identity function with example?

Answer: The function f is referred to as the identity function in case each element of set A has an image on itself. For example, f (a) = a ∀ a ∈ A. Its denotation takes place by I. Example: Consider, A = {1, 2, 3, 4, 5}.

Question 3: Tell what is an identity function?

Answer: In mathematics, an identity function can also be called an identity map or identity relation or identity transformation. Furthermore, it is a function that always returns the same value whose use took place as its argument.

Question 4: Explain what is identity set?

Answer: Identity set refers to a special type of element of a set which is in respect to a binary operation on that set. This set leaves any element of the set unchanged during the combination with it.

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