Question

Express 93² - 1 as the product of two consecutive even/odd natural number.
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Answer 1

Answer:-

Hi there ! Answer is 92 and 94 ! Hope it helps !

Explanation:-

First we will calculate what is 93²-1

${93}^{2} - 1 = \\ 93 \times 93 - 1 = \\ 8649 - 1 = \\ 8648$

We found out that 8548 is the Answer of 93×93-1

Now , we will find the factors of 8648

The factors of 8648 are :-

$1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, \\ 376, 1081, 2162, 4324, 8648$

These are all the factors of 8648 :-

There are two numbers that are factors of 8648 that are consecutive

They are 92 and 94

Answer :- 93²-1 is the product of two even consecutive numbers and they are 92 and 94

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Answer 2

Answer:

92x94

Step-by-step explanation:

a²-b²= (a+b)(a-b)

93²-1² = (93+1)(93-1)

= 94x92

Cross check:

LHS. RHS

93²-1= 8649-1= 8648. 94x92=8648

As LHS = RHS

So answer is verified.

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