Question

8 points + big brain!

Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!

Answer 1

Whole number= n

• n= a²- b²= (a+b)(a-b)

There are infinitely many numbers satisfying this condition. Providing some examples:

• a=50, b= 13 ⇒ n= (50+13)(50-13)= 2331
• a= 8, b=4 ⇒ n= (8+4)(8-4)= 48
• a= 15, b= 12 ⇒ n= (15+12)(15-12)= 81
• a= 6, b= 1 ⇒ n= (6+1)(6-1)= 35
• a= 70, b= 20 ⇒ n= (70+20)(70-20)= 4500