Quickly expand (a±b)² algebraic expressions into standard polynomials. Ideal for math learning and verification.
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Manually expanding (a+b)² or (a-b)² expressions can easily lead to missing terms or calculation errors. Based on the perfect square formula, this tool automatically expands binomial squares into standard polynomial forms. A perfect square is a special algebraic expression representing the square of a binomial, and its expansion follows a fixed pattern: a² ± 2ab + b².
Does the perfect square calculator support fraction inputs?
Yes. You can directly input fractions like 1/2, and the tool will automatically process the calculation.
How are the variables ordered in the output?
The results are arranged in descending order of powers according to standard polynomial formatting, with the highest degree term first. For example, (2x+3)² expands to 4x² + 12x + 9, rather than 9 + 12x + 4x².
Please use basic arithmetic operators for your input. Complex functions like trigonometric or logarithmic functions are not supported. Variable names are case-sensitive. The result is a pure mathematical expansion and does not evaluate numerical values.
The perfect square formula is the foundation for completing the square and factoring. We recommend understanding the pattern through typical examples: (3x+2)² expands to 9x² + 12x + 4, and (5y-1)² expands to 25y² - 10y + 1. Note that the sign of the middle term's coefficient always matches the selected expansion type.
