Question

pls answer it
using suitable identity evaluate
33³-27³​

Answer 1

Answer:

16,249

Step-by-step explanation:

33³-27³

=35,937-19,688

=16,249

Answer 2

Using the identity:

a^3 - b^3 = (a - b)(a^2 + b^2 + ab).

We can also write this as:

a^3 - b^3 = (a - b)((a^2 + b^2 + 2ab) - (ab)).

a^3 - b^3 = (a - b)((a + b)^2) - ab).

Where a = 33, b = 27.

33^3 - 27^3 = (33 - 27)((33 + 27)^2 - (33)(27)).

33^3 - 27^3 = (6)((50)^2 - 891).

33^3 - 27^3 = (6)(3600 - 891).

33^3 - 27^3 = (6)(2709).

33^3 - 27^3 = 1625454.

Ans: 16254.