Here, (nCk) represents the binomial coefficient, which is the number of ways to choose k items from a set of n items and is calculated as n! / (k!(n-k)!).
These identities are fundamental in algebra and are used to simplify and solve equations, factor expressions, and perform various algebraic operations.
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Answer:
Algebraic identities are mathematical equations that are true for all values of the variables involved. Here are four standard algebraic identities:
The Identity for Addition:
(a + b)² = a² + 2ab + b²
The Identity for Subtraction:
(a - b)² = a² - 2ab + b²
The Identity for the Product of a Sum and a Difference:
(a + b)(a - b) = a² - b²
The Identity for the Square of a Binomial (also known as the Binomial Theorem):
(a + b)ⁿ = aⁿ + (nC1)aⁿ⁻¹b + (nC2)aⁿ⁻²b² + ... + bⁿ
Here, (nCk) represents the binomial coefficient, which is the number of ways to choose k items from a set of n items and is calculated as n! / (k!(n-k)!).
These identities are fundamental in algebra and are used to simplify and solve equations, factor expressions, and perform various algebraic operations.
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