Question

use suitable identity to evaluate
${99}^{3}$
​

Answer 1

Solution :

• (99)³

we can write it as :

• (100-1)³

As we know that ;

• (a-b)³ = a³ - b³ -3ab (a-b )

=>(100-1)³

=> 100³ - 1³ - 3 (100)(1)(100-1)

=> 1000000-1-3(9900)

=> 1000000-1-29700

=> 970299

Answer 2

Answer:

9,70,299

Step-by-step explanation:

$99^{3}$

= $(100 - 1)^{3}$

= $a^{3} - b^{3} - 3ab(a - b)$

= $100^{3} - 1^{3} - 3 * 100 * 1(100 - 1)$

= 1000000 - 1 - 300 (99)

= 9,99,999 - 29700

= 9,70,299

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Note : * is the same as x, i.e. multiply.