SOLUTION: What is the relation between the sum of the cubes of two numbers and cube of the sum of these two numbers? I also want to find the relation between the difference between the cub

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Question 1011117: What is the relation between the sum of the cubes of two numbers and cube of the sum of these two numbers?
I also want to find the relation between the difference between the cubes of two numbers and the cube of the difference between these two numbers. Someone please help me.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y be the two numbrs.

the sum of the cubes of the two numbers = x^3 + y^3.

the cube of the sum of the two numbers = (x + y)^3 = (x+y) * (x+y) * (x+y).

the difference between the cube of two numbers = x^3 - y^3.

the cube of the difference between two numbers = (x-y)^3 = (x-y) * (x-y) * (x-y)

for example:

if the two numbers are 5 and 3, then:

the sum of the cubes of the two numbers is 5^3 + 3^3 = 125 + 27 = 152.

the cube of the sum of the two numbers is (5+3)^3 = 8^3 = 512.

the difference between the cube of the numbers is 5^3 - 3^3 = 125 - 27 = 98.

the cube of the difference between the numbers is (5-3)^3 = 2^3 = 8.