Algebraic Proof and Geometric Proof of (a-b)^2=a^2-2ab+b^2 |

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Algebraic Proof and Geometric Proof of (a-b)^2=a^2-2ab+b^2 | To prove (a-b)^2=a^2-2ab+b^2 | To prove (a-b)^2=a^2-2ab+b^2 geometrically | To prove (a-b)^2=a^2-2ab+b^2 algebraically | To prove (a-b)^2=a^2-2ab+b^2 from a figure |
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The algebraic equations which are valid for all values of variables in them are called algebraic identities. They are also used for the factorization of polynomials. In this way, algebraic identities are used in the computation of algebraic expressions and solving different polynomials. You have already learned about a few of them in the junior grades. In this article, we will recall them and introduce you to some more standard algebraic identities, along with examples.
What is the difference between an algebraic expression and identities?
An algebraic expression is an expression which consists of variables and constants. In expressions, a variable can take any value. Thus, the expression value can change if the variable values are changed. But algebraic identity is equality which is true for all the values of the variables.

How to verify algebraic identity?
The algebraic identities are verified using the substitution method. In this method, substitute the values for the variables and perform the arithmetic operation. Another method to verify the algebraic identity is the activity method. In this method, you would need a prerequisite knowledge of Geometry and some materials are needed to prove the identity.
What is the difference between an algebraic expression and identities?
An algebraic expression is an expression which consists of variables and constants. In expressions, a variable can take any value. Thus, the expression value can change if the variable values are changed. But algebraic identity is equality which is true for all the values of the variables.

How to verify algebraic identity?
The algebraic identities are verified using the substitution method. In this method, substitute the values for the variables and perform the arithmetic operation. Another method to verify the algebraic identity is the activity method. In this method, you would need a prerequisite knowledge of Geometry and some materials are needed to prove the #identity.