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23 cube - 17 cube Related: Algebraic Identities - Polynomials, Class ...
Algebraic Identities - Polynomials, Class 9, Mathematics

Introduction:
In mathematics, an algebraic identity is an equality that holds for all values of the variables involved. Algebraic identities are used extensively in solving algebraic equations, simplifying expressions, and manipulating polynomials. In this context, we will discuss the algebraic identity involving cube of two numbers.

The Identity:
(a-b)³ = a³ - 3a²b + 3ab² - b³
Using the above identity, we can easily find the difference of cubes of any two numbers. Let's apply this identity to find the difference of cubes of 23 and 17.

Solution:
We know that 23 cube is equal to 23 x 23 x 23 = 12,167 and 17 cube is equal to 17 x 17 x 17 = 4,913. Using the algebraic identity mentioned above, we can find the difference of cubes of these two numbers as follows:
(23 - 17)³ = 6³ = 216
= (23)³ - 3(23)²(17) + 3(23)(17)² - (17)³
= 12,167 - 3 x 23 x 23 x 17 + 3 x 23 x 17 x 17 - 4,913
= 2,087
Therefore, the difference of cubes of 23 and 17 is 2,087.

Conclusion:
Algebraic identities are very useful in solving various mathematical problems. The identity involving cube of two numbers is particularly helpful in finding the difference of cubes of any two numbers. By using this identity, we can easily find the difference of cubes of any two numbers without actually calculating the cubes.
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23 cube - 17 cube Related: Algebraic Identities - Polynomials, Class ...
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23 cube - 17 cube Related: Algebraic Identities - Polynomials, Class 9, Mathematics?
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