Perfect-Square Trinomial Expansion
Math
Perfect-Square Trinomial Expansion with explicit inputs, formulas and domain checks.
Formula
(ax+b)²=a²x²+2abx+b²
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Expands an entered binomial; does not infer a factorization from arbitrary polynomial coefficients.
Example Calculation
Example inputs
- a in (ax+b)²: 2
- b: 3
(2x+3)²=4x²+12x+9.
Frequently asked questions
How do I use this calculator?
Enter a in (ax+b)², b. The result updates automatically. Use Reset to restore the example values.
What method does it use?
(ax+b)²=a²x²+2abx+b². Expands an entered binomial; does not infer a factorization from arbitrary polynomial coefficients.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.