Question

Evaluate the following using suitable identities:

1) (99)^3
2)(102)^3​

Answer 1

$\huge\star\underline\mathfrak\red{Answer:-}$

1)(99)^3

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

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

= $1000000 - 1 - 300(100 - 1)$

= $1000000 - 1 - 30000 + 30$

= $970299$

2)(102)^3

= $( {100 + 2})^{3}$

= ${100}^{3} + {2}^{3} + 3(100)(2)(100 + 2)$

= $1000000 + 8 + 600(100 + 2)$

= $1000000 + 8 + 60000 + 1200$

= $1061208$

Answer 2

$\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$

Hope it helps you....♥️✔️♥️