Question

Evaluate (99) ^3 by using algebraic identity. ​

Answer 1

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• Evaluate $99^{3}$ by using suitable identity.

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First of all, we have to know the identity to solve the problem.

Only one identity is needed for solving the problem i.e.,

${(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y)$

Now, we will represent 99 in the form of x-y, So, we can write like this:-

${99}^{3}$

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

Now, we will evaluate.

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

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

$= 1000000 - 1 -( 300 \times 99)$

$= 1000000 - 1 - 29700$

$= 970299$

$\star\:\:\bf\large\underline\blue{Answer:-}$

• ${99}^{3} = 970299$

Answer 2

Answer:

993^3

=993 ×993×993 (multiple the base 3 time )

=979146657

Step-by-step explanation: