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Theory

Factor a difference of squares

An expression on the form

a^{2} - b^{2}

can be factored to a product of two binomials.

a^{2} - b^{2} = (a + b) (a - b)

An example is the expression

x^{2} - 25

which can be written as

x^{2} - 5^{2},

and thus, be factored to a product of conjugate pair of binomials.

x^{2} - 5^{2} = (x + 5) (x - 5)

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