Maths & numbers

Factor a difference of squares calculator

Factor an expression of the form a²x²−b² over the integers.

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Behind the numbers

How this calculation works

Factor an expression of the form a²x²−b² over the integers.

THE FORMULAu²−v² = (u−v)(u+v)

A worked example

9x²−25 factors as (3x−5)(3x+5).

Good to know

Enter square roots of the two positive square coefficients.

Read the result

Factor an expression of the form a²x²−b² over the integers.

The primary result is labeled “Factorization”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Enter square roots of the two positive square coefficients.

For a related exercise, try the quadratic equation solver.

A few questions, answered

How can I check the default inputs by hand?

9x²−25 factors as (3x−5)(3x+5).

Which rule does this calculator apply?

u²−v² = (u−v)(u+v)

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