Question

Using identity , find 51^2+49^2​

Answer 1

Step-by-step explanation:

we can write it as (50+1)2+(50-1)2

2500+1+100+2500+1-100

=5002

hope it's clear

Answer 2

51² + 49²

= (50 + 1)² + (50 -1)²

by application of 4th identity,

(x+a)² + (x+b)² = (x)² + (a+b)x + (a×b)

where ,x = 50

,a = +1

,b = -1

So, (50)² + (+1-1)×50+ (+1 × -1 )

= 2500 + 0 -1

= 2499

So, the answer is 2499