Using the Difference of Squares Factoring Pattern to Simplify a Mental Math Calculation
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Today's suspiciously nice mental math calculation is an example of a factoring pattern called the difference of two squares (or sometimes just the difference of squares).
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This pattern, or identity, is a² – b² = (a – b)(a + b). In other words, if you have a difference of two perfect squares, it will be equivalent to the sum of the square roots times the difference of the square roots. This often comes in handy for algebraic simplifications, but can also be used, as here, for mental math calculations.
#mentalmath #numbersense #differenceofsquares
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