Question

Evaluate using identity 51^2-49^2

Answer 1

Answer:

The answer is 200.

Step-by-step explanation:

Answer 2

51² - 49² = 200

Given :

The expression 51² - 49²

To find :

To simplify using identity

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

51² - 49²

Step 2 of 2 :

Find the value using suitable identity

We apply the identity a² - b² = ( a + b ) ( a - b )

Thus we get

$\sf {51}^{2} - {49}^{2}$

$\sf = (51 + 49) \times (51 - 49)$

$\sf = 100 \times 2$

$\sf =200$

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