What is the product of two consecutive even number $56 × 58$ ?

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3246

3248

3228

3287

answer is B.

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Detailed Solution

The given numbers are 56 and 58.
The result of two successive natural numbers that are odd or even is

n 2 − 1

, where n is a natural number.
As a result of the fact that the numbers are successive even natural numbers of the type (n-1), (n+1), where n = 57.
Hence the required product,

⇒ 56 × 58 = 572 − 1 ⇒ 3249 − 1 ⇒ 3248

In light of this, the result of two consecutive even integers 56

×

58 is 3248.
Therefore, option 2 is correct.

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