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Simplify the following expression:9992×100089992 \times 100089992×10008
Question

Simplify the following expression:

9992×100089992 \times 10008

A.

91999964

B.

99999936

C.

9999964

D.

9999936

Correct option is B

Given:  

9992×100089992 \times 10008 \\​​
Formula Used:
(a + b)(a - b) = a² - b²
Solution:
We can rewrite 9992 × 10008 as:
(10000 - 8)(10000 + 8) = 10000² - 8 = 100000000 - 64 = 99999936
Thus:
9992 × 10008 = 100000000 - 64 = 99999936

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