Choose two values, a and b, each between 8 and 15. show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator

2457

Step-by-step explanation:

Identity given:

Choose two numbers a and b such that they lie between 8 and 15.

Let

To find: using the given identity

Using identity, we have

We need to solve the RHS of the above equation in order to find

Also, we can check if it's equal to the LHS or not.

Using calculator,

probability for j is 1/4

while

a is 1/6

9 x 8 divided by (5-3)=36