Simplify 52×52−48×48.
- A386
- B400
- C424
- D326
Solution & Step-by-step Explanation
The given expression can be written in the algebraic form a
2
−b
2
:
52
2
−48
2
We know the identity:
a
2
−b
2
=(a−b)(a+b)
Let a=52 and b=48:
52
2
−48
2
=(52−48)(52+48)
52
2
−48
2
=(4)×(100)=400
2
−b
2
:
52
2
−48
2
We know the identity:
a
2
−b
2
=(a−b)(a+b)
Let a=52 and b=48:
52
2
−48
2
=(52−48)(52+48)
52
2
−48
2
=(4)×(100)=400