Question

Evalute 93³ By using algebric Identiy.

check Your answer :- 778688​

Answer 1

$\sf\green{ {93}^{3} can\: be \:written \:as {(100-7)}^{3}}$

So , if we observe ; here the $\sf{(a-b)}^{3}$ is used.

In this condition a = 100

b = 7

Following the same identity we will solve it.

$\sf{(a-b)}^{3} = {a}^{3} - {b}^{3} - {3a}^{2}b+{3ab}^{2}$

$\longrightarrow{\sf\orange{{(100}^{3} - {7}^{3} - 3\times{100)}^{2}\times7+3\times100\times{7}^{2}}}$

$\longrightarrow{\sf\orange{1000000 - 343 - 210000+14700}}$

$\implies{\sf\green{804357}}$

$\sf\pink{Verification}$

$\sf{\sqrt[3]{804357}}$

= 93