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Simplify the following expressions:​9991×100099991 \times 100099991×10009​​
Question

Simplify the following expressions:

9991×100099991 \times 10009​​

A.

9999999

B.

91999919

C.

9999919

D.

99999919

Correct option is D

Given:

The expression to simplify is:

9991 × 1000

Formula Used:

(a+b)(a−b) = a2 − b2

Solution:
9991 × 10009

= (10000−9) × (10000+9)

= (10000)2 – (9)2

= 100000000 – 81

= 99999919

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