Question

51 square - 49 square identity

Answer 1

$51^{2} -49^{2}=200$

Step-by-step explanation:

We have,

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

To find, $51^{2} -49^{2}=?$

Using algebraic identity,

$a^{2} -b^{2}=(a+b)(a-b)$

∴ $51^{2} -49^{2}$

$=(51+49)(51-49)$

$=(100)(2)$

= 200

∴ $51^{2} -49^{2}=200$

Hence, $51^{2} -49^{2}=200$

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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