Algebra Calculators
Difference of Squares Calculator
Factor a² − b² into (a + b)(a − b) for numbers or simple terms.
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What is Difference of Squares?
The difference of squares is the most-used factoring pattern in algebra: a² − b² always factors as (a + b)(a − b), because the cross terms in the expansion cancel. It is what turns 9x² − 16 into (3x + 4)(3x − 4).
How it works
Each input term is parsed as a monomial, squared, and reassembled into the two factors, with the sign folded in so a negative term still produces the conventional (a + b)(a − b) shape. The steps spell out what each square is.
- Enter your input. Type or paste your input into the field above — the tool responds instantly.
- Review the result. Output updates live as you type. Everything runs entirely in your browser.
- Copy or download. Use the Copy button to grab the result, or Download to save it as a file.
Examples
Realistic sample
Type or paste any realistic input — the tool computes the result locally and instantly.
Common mistakes
Expecting a server round-trip
Nothing is uploaded — every tool in this category runs entirely in your browser.