Question

evaluate by using identities a)499^2 ​

Answer 1

Answer:

499^2=(500-1)^2

=250000-1000+1

=249001

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Answer 2

499² = 249001

Given :

The number 499²

To find :

Find the value using suitable identity

Identity Used :

(a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 499²

Step 2 of 2 :

Find the value of the expression

We are aware of the identity that

(a - b)² = a² - 2ab + b²

Thus we get

$\displaystyle \sf{ {499}^{2} }$

$\displaystyle \sf{ = {(500 - 1)}^{2} }$

$\displaystyle \sf{ = {(500 )}^{2} - 2 \times 500 \times 1 + {(1)}^{2} }$

$\displaystyle \sf{ = 250000 - 1000 + 1 }$

$\displaystyle \sf{ = 249001 }$

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