Question 1

What are algebraic identities?

Accepted Answer

Algebraic identities are equations that hold true for all values of the variables. They allow you to quickly expand or factor expressions: (a+b)²=a²+2ab+b², (a−b)²=a²−2ab+b², (a+b)(a−b)=a²−b².

Question 2

How do I remember the square of a sum formula?

Accepted Answer

(a+b)² = a² + 2ab + b². Mnemonic: square of the first term + twice the product + square of the second term.

Question 3

Where are algebraic identities used?

Accepted Answer

When simplifying expressions, factoring polynomials, solving equations, and doing mental arithmetic (e.g., 99²=(100−1)²=10000−200+1=9801).

Algebraic Identities

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