Question

Evaluate (99)3 using suitable identities​

Answer 1

297

Explanation:

(99)3 =

(99) x 3 =

(90 + 9) x 3 =

(90) x 3 + (9) x 3 =

90 x 3 + 9 x 3 =

270 + 27 =

297

Hope that helps! :)

-Aphrodite

Answer 2

Explanation:

Correction:

Evaluate (99)^3 using suitable identities.

Solution:

(99)^3 = (100 - 1)^3

since, (a - b)^2 = a^3 - b^3 - 3ab (a-b)

Where,

• a = 100 and
• b = 1

Now,

(99)^3

=> (100)^3 - (1)^3 - 3(100)(1)(100 - 1)

=> 1000000 - 1 - 3(100)(100 - 1)

=> 1000000 - 1 - 300 (99)

=> 1000000 - 1 - 29700

=> 970299 Ans.