Using binomial theorem, evaluate each of the following:
i) $(102)^{3}$ (ii) $(99)^{3}$

Open in App

Solution

i) $(102)^{3}$
$= (100 + 2)^{3}$
$= (100)^{3} + 3. (100)^{2} .2 + {3.100.2}^{2} + 2^{3}$
$= 1000, 000 + 60, 000 + 1, 200 + 8$
$= 1061, 208$

(ii) $(99)^{3}$
$= (100 - 1)^{3}$
$= (100)^{3} - 3. (100)^{2} .1 + 3.100.1 - (1)^{3}$
$= 1000, 000 - 30, 000 + 300 - 1$
$= 970, 299$

Suggest Corrections

Similar questions

Using binomial theorem evaluate each of the following:

$(i) (96)^{3} (i i) (102)^{5} (i i i) (101)^{4} (i v) (98)^{5}$

{(102)}^{3}

(102)^{5}

(99)^{3}

(102)^{3}

(998)^{3}

Evaluate the following using suitable identities:

(i) (99)³ (ii) (102)³ (iii) (998)³

Join BYJU'S Learning Program