Question

evaluate (97)3 USING Suitable identities

Answer 1

Dear your answer is
(97)³ = (100-3)³ = 100³-3³-3*100*100*3 + 3*3*3*100
Using (a-b)³ = a³-b³-3a²b+3ab²
= 912673
Hope it helps you
Please Mark it as brainliest answer

Answer 2

Answer:

$(97)^3=912673$

Step-by-step explanation:

Given : Expression $(97)^3$

To find : Evaluate the expression ?

Solution :

Write the expression as,

$(97)^3=(100-3)^3$

Applying identity, $(a-b)^3= a^3-b^3-3a^2b+3ab^2$

Here, a=100 and b=3

Substitute the values,

$(100-3)^3=(100)^3-(3)^3-3(100)^2(3)+3(100)(3)^2$

$(97)^3=1000000-27-90000+2700$

$(97)^3=912673$

Therefore, $(97)^3=912673$