Question

d) Using suitable identity evaluate (35) :-(27)3-(8)3​

Answer 1

Answer:

$27 {}^{3} - 8 {}^{3} = (27 - 8)(729 + 216 + 64) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 19 \times 1009 = 19171$

Answer 2

Answer: 19171

Step-by-step explanation:

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

So (27^3 - 8^3) =(27-8)(27^2 + 27x8 + 8^2)

=19 x (729 + 216 + 64)

=19 x 1009

=19171