The difference of the squares of two consecutive numbers is equal to the sum of two numbers: As:
(i) 3 x 3 – 2 x 2 = 3 + 2 = 5
(ii) 9 x 9 – 8 x 8 = 9 + 8 = 17
(iii) 25 x 25 – 24 x 24 = 25 + 24 = 49
(iv) 217 x 217 – 216 x 216 = 217 + 216 = 433
You may write the difference of the squares of two given consecutive numbers:
(i) 76 x 76 – 75 x 75 = _______ .
(ii) 115 x 115 – 114 x 114 = _______ .
(iii) 137 x 137 – 136 x 136 = _______ .
(iv) 376 x 376 – 375 x 375 = _______ .
(v) 695 x 695  694 x 694 = _______ .
Check the answers:
(i) 76 x 76 – 75 x 75
= 76 + 75
= 151.
Answer: 151
(ii) 115 x 115 – 114 x 114
= 115 + 114
= 229.
Answer: 229
(iii) 137 x 137 – 136 x 136
= 137 + 136
= 273.
Answer: 273
(iv) 376 x 376 – 375 x 375
= 376 + 375
= 751.
Answer: 751
(v) 695 x 695  694 x 694
= 695 + 694
= 1389.
Answer: 1389
Related Concept
● Patterns and Mental Mathematics
● Counting Numbers in Proper Pattern
● Puzzle
● Patterns
4th Grade Math Activities
From Difference of The Squares to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
