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Product of Two Consecutive Even or Odd Natural Numbers

find the foll...

Question

find the following product 43x45?

A

1935

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B

1835

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C

2115

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D

2025

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Solution

The correct option is A
1935

We know the identity $a^{2} - b^{2} = (a - b) (a + b)$
43x45 = (44-1)(44+1) = 44² - 1 = 1936 - 1 = 1935

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