(n+1)² - n²

n+ (n+1) used to find difference between squares of consecutive numbers

between n² and n+1², how many numbers are there

there are 2n numbers in between

(a+b)²

a²+ b²+ 2ab

(a+b)² use [ example no= 56²]

if no is 56², then we can express it as (50+6)² => 50+ 6² + 2* 50*6 => 2500+ 36+ 600 => 3136

(a-b)²

a²+ b²- 2ab

(a-b)(a+b)

a²- b²

(a-b)(a+b) use in problem

used to find the product of 2 consecutive odd or even numbers