Question

How to solve 51 square - 49 square using the identity (a+b)*(a-b)=a square - b square?

Answer 1

Answer : 200

Step-by-step explanation:

To Solve :- $51^{2}$ - $49^{2}$

Method :- ( 51 )² - ( 49 )²

= ( 51 + 49 ) ( 51 - 49 )

= 100 × 2

= 200

Answer 2

MAKE ME BRILLIANT

We have,

51^{2} -49^{2}51

2

−49

2

To find, 51^{2} -49^{2}=?51

2

−49

2

=?

Using algebraic identity,

a^{2} -b^{2}=(a+b)(a-b)a

2

−b

2

=(a+b)(a−b)

∴ 51^{2} -49^{2}51

2

−49

2

=(51+49)(51-49)=(51+49)(51−49)

=(100)(2)=(100)(2)

= 200