Applying Algebraic identities to simplify arithmetic
Consider the algebraic multiplication of (A-B) and (A+B). (A-B)*(A+B) = A*(A+B) - B*(A+B) = A*A + A*B - B*A - B*B = A*A -B*B In words, the product of the difference and sum of two numbers is the difference of their squares. Quick, what is 29*31? 29 is the difference of 30 and 1. 31 is the sum of 30... Sign in to see full entry.