103 LearnersLast updated on June 28th, 2025
Difference Of Cubes Calculator
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about the difference of cubes calculator.
What is Difference Of Cubes Calculator?
A difference of cubes calculator is a tool to figure out the result of subtracting one cube number from another.
It simplifies the process of applying the difference of cubes formula, making calculations easier and faster, saving time and effort.
How to Use the Difference Of Cubes Calculator?
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the values: Input the two values for which you need to find the difference of cubes in the given fields.
Step 2: Click on calculate: Click on the calculate button to perform the operation and get the result.
Step 3: View the result: The calculator will display the result instantly.
How to Calculate the Difference of Cubes?
To calculate the difference of cubes, there is a specific algebraic formula that the calculator uses.
The difference of cubes can be expressed as: a³ - b³ = (a - b)(a² + ab + b²)
This formula helps in breaking down the problem into a simpler multiplication of binomials and trinomials.
Tips and Tricks for Using the Difference Of Cubes Calculator
When using a difference of cubes calculator, there are a few tips and tricks to make it easier and avoid mistakes:
Understand the algebraic formula and how it simplifies the calculation.
Double-check your input values to ensure they are correct. Use the calculator to confirm manual calculations if needed.
Common Mistakes and How to Avoid Them When Using the Difference Of Cubes Calculator
We may think that when using a calculator, mistakes will not happen.
But it is possible to make mistakes when using a calculator.
Mistake 1
Incorrectly identifying the terms of the expression.
Ensure that you correctly identify 'a' and 'b' in the expression a³ - b³.
Swapping these values will lead to incorrect results.
Mistake 2
Forgetting to apply the formula properly.
Always remember to apply the formula (a - b)(a² + ab + b²) correctly to avoid errors in your calculation.
Mistake 3
Relying solely on the calculator for understanding.
While the calculator is helpful, relying solely on it without understanding the underlying concepts can lead to errors in interpretation.
Mistake 4
Neglecting to double-check the results.
Always verify your results, especially if they are used in further calculations or important decisions.
Mistake 5
Using incorrect values for 'a' and 'b'.
Ensure that the values entered for 'a' and 'b' correspond to the correct terms in the expression to avoid erroneous outcomes.
Difference Of Cubes Calculator Examples
Problem 1
What is the difference of cubes for 8³ and 3³?
Use the formula: a³ - b³ = (a - b)(a² + ab + b²) a = 8, b = 3 8³ - 3³ = (8 - 3)(8² + 8*3 + 3²) = 5(64 + 24 + 9) = 5(97) = 485
Explanation
By applying the formula, we substitute 8 for 'a' and 3 for 'b', and perform the operations to find the difference of cubes.
Problem 2
Calculate the difference of cubes for 5³ and 2³.
Use the formula: a³ - b³ = (a - b)(a² + ab + b²) a = 5, b = 2 5³ - 2³ = (5 - 2)(5² + 5*2 + 2²) = 3(25 + 10 + 4) = 3(39) = 117
Explanation
Substituting 5 for 'a' and 2 for 'b', we apply the formula and calculate the difference of cubes.
Problem 3
Find the difference of cubes for 10³ and 6³.
Use the formula: a³ - b³ = (a - b)(a² + ab + b²) a = 10, b = 6 10³ - 6³ = (10 - 6)(10² + 10*6 + 6²) = 4(100 + 60 + 36) = 4(196) = 784
Explanation
By applying the formula with 'a' as 10 and 'b' as 6, we calculate the difference of cubes.
Problem 4
What is the result of the difference of cubes for 12³ and 7³?
Use the formula: a³ - b³ = (a - b)(a² + ab + b²) a = 12, b = 7 12³ - 7³ = (12 - 7)(12² + 12*7 + 7²) = 5(144 + 84 + 49) = 5(277) = 1385
Explanation
Using the values 12 for 'a' and 7 for 'b', we apply the formula to find the difference of cubes.
Problem 5
Determine the difference of cubes for 15³ and 9³.
Use the formula: a³ - b³ = (a - b)(a² + ab + b²) a = 15, b = 9 15³ - 9³ = (15 - 9)(15² + 15*9 + 9²) = 6(225 + 135 + 81) = 6(441) = 2646
Explanation
Substituting 15 for 'a' and 9 for 'b', we calculate the difference of cubes using the formula.
FAQs on Using the Difference Of Cubes Calculator
1.How do you calculate the difference of cubes?
2.What is the difference of cubes formula?
3.Why is it important to understand the formula?
4.How do I use a difference of cubes calculator?
5.Is the difference of cubes calculator reliable?
Glossary of Terms for the Difference Of Cubes Calculator
- Difference Of Cubes Calculator: A tool used to calculate the difference between two cube numbers using the formula a³ - b³ = (a - b)(a² + ab + b²).
- Cubes: The result of raising a number to the power of three, e.g., a³.
- Binomial: An algebraic expression containing two terms, such as (a - b).
- Trinomial: An algebraic expression containing three terms, such as (a² + ab + b²).
- Algebraic Formula: A mathematical expression used to solve specific types of problems, such as the difference of cubes formula.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
