Find the value of 997+496 whole square - 997- 496 whole square by 997×496
Answers
α¢¢σя∂ιиg тσ qυєѕтισи
(997 + 496)² - (997 - 496)²
---------------------------------------
997×496
ву тнє ι∂єитιту -- α² - в²
( 1493 + 501)(1493 - 501)
-----------------------------------
494512
1994×992
= ---------------
494512
= 1978048
--------------
494512
= 4...
нσρє ιт ωιℓℓ нєℓρ υнн!
# вє вяαιиℓу.......
Answer: The Final Answer is 4.
Step-by-step explanation:
(997+496)² - (997-496)²
---------------------------------
997 x 496
Using the Identity, a² - b² = (a+b) (a-b)
(997+496+997-496) x (997+496-997+496)
In the first term 496 and (-496) cancel out, leaving 997+997 and in the second term, 997 and (-997) cancel out, leaving 496+496. This is basically :
(2 x 997) x (2 x 496)
-----------------------------
(997 x 496)
997/997 is = 1 and in the same way, 496/496 is also 1. Multiplying a number by 1 gives us the same number because 1 is the Multiplicative Identity.
So we are just left with 2 x 2 which is 4 and we are done!!
Hope this helped you!!