Question

Evaluate using suitable identities. (99)3

Answer 1

$(99)3 = 99 \times 3 = 297$

Answer 2

Question:-

• Evaluate the following using identity.

Solution:-

$\sf {(99)}^{3}$

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

Using the identity,

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

We get,

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

$\sf = {100}^{3} - {1}^{3} - 3 \times 100 \times 1 \times 99$

$\sf = 1000000 - 1 - 29700$

$\sf = 970299$

Hence,

$\sf {(99)}^{3} = 970299$