Given, (98)^3 =(100 2)^3 where a=100, b=2 We have (a b)^3=a^3 b^3 3ab(a b) =100^3 2^3 3× 100× 2(100 2) =1000000 8 600× 98 = ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Multiplication of Any Polynomial

Evaluate : 9...

Question

Evaluate : ${(98)}^{3}$

Open in App

Solution

given, ${(98)}^{3}$
$= {(100 - 2)}^{3}$ where $a = 100, b = 2$

We have ${(a - b)}^{3} = a^{3} - b^{3} - 3 a b (a - b)$

$= 100^{3} - 2^{3} - 3 \times 100 \times 2 (100 - 2)$

$= 1000000 - 8 - 600 \times 98$

$= 10, 00, 000 - 8 - 58, 800 ‬ ‬$

$= 9, 41, 192 ‬ ‬$

Suggest Corrections

Similar questions

98^{3}

98^{3}

$(\sqrt{98})^{3}$ can be written as

983^{2} - 17^{2}

(98)^{3}

Join BYJU'S Learning Program