Given two terms a, b. Sum of terms = a+b Difference of terms = a-b Product of sum and difference (do not forget parentheses) =(a+b)(a-b) which can be expanded as=a^2-b^2
We can make use of this property to calculate with lightning speed, assuming you know the squares of numbers.
For example, 8*6=(7+1)(7-1)=7^2-1^2=48 9*7=(8+1(8-1)=8^2-1^2=64-1=63 5*15 = (10+5)(10-5)=10^2-5^2=75 22*18=(20+2)(20-2)=20^2-2^2=400-4=396 63*57=(60+3)(60-3)=60^2-3^2=3600-9=3591 128*112=(120+8)(120-8)=120^2-8^2=14400-64=14336 We can go on and on!
