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Difference of Cubes Calculator
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Calculate the difference of cubes (a³-b³) instantly. Supports integers and decimals, ideal for math learning and algebra.
Enter details to see results
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Manually expanding the difference of cubes formula (a³-b³) can easily lead to errors. Based on the difference of cubes identity a³-b³=(a-b)(a²+ab+b²), this tool allows you to simply input the values of a and b to get precise results. It is perfect for verifying math homework, simplifying algebraic expressions, or performing engineering calculations.
Does the difference of cubes calculator support negative numbers?
Yes. It can accurately calculate the difference of cubes for negative numbers, such as (-4)³-(-1)³=-63.
What if there is a decimal precision error in the result?
The tool uses high-precision calculation by default, but floating-point arithmetic may have minuscule errors. You can set the output decimal places using the precision control at the top, and the system will automatically round to the specified precision.
Please ensure your inputs are valid numbers; non-numeric characters will cause calculation errors. Extremely large number calculations may be limited by the JavaScript numerical range (approximately ±10^308), but this is not a concern for standard math calculations. Results are for reference only; please double-check for critical applications.
The difference of cubes formula is widely used in factoring and polynomial simplification. For example, x³-8 can be factored into (x-2)(x²+2x+4). We recommend using this tool alongside the formula derivation process: factor manually first, then use the calculator to verify the numerical result. Typical examples: when a=5, b=2, 5³-2³=125-8=117; when a=3.5, b=1.5, 42.875-3.375=39.5.
