How this calculation works
Factor (ax)³+b³, with a negative b representing a difference.
THE FORMULA
u³+v³ = (u+v)(u²−uv+v²)A worked example
8x³+27 has factors 2x+3 and 4x²−6x+9.
Good to know
The second cube base can be positive, negative or zero.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Factor (ax)³+b³, with a negative b representing a difference.
The primary result is labeled “Linear factor”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The second cube base can be positive, negative or zero.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
8x³+27 has factors 2x+3 and 4x²−6x+9.
Which rule does this calculator apply?
u³+v³ = (u+v)(u²−uv+v²)