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a3+ b3 = (a + b)(a2 - ab + b2)
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What is interesting about Hardy-Ramanujan number?
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
Sum and difference of two cubes?
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2
What is the pattern of sum of cubes?
(a3 + b3) = (a + b)(a2 - ab + b2)
How would the sum of cubes formula be used to factor x3y3 343?
(xy + 7)(x^2y^2 - 7xy + 49)
What are the rules of factorization?
Do in this order. 1. All, find the gfc 2. Binomial, factor as difference of squares, sum of cubes, difference of cubes. 3. Trinomial, factor as a quadratic. 4. 4 or more terms, factor by grouping.
What is the formula for the sum of two cubes?
The sum of two cubes can be factored as below.a3 + b3 = (a + b)(a2 - ab + b2)
Definition of sum of two cubes?
a3 + b3
Definition of Sum or difference of two cubes?
That means that you calculate the cubes of two numbers, and then either add or subtract them.
The sum of two numbers is k Find the minimum value of the sum of their cubes?
1
The sum of two positive numbers is 4 and the sum fo their cubes is 28 What is the sum of their squares?
The sum of their squares is 10.
What is the probability of rolling a sum of 2 with two number cubes?
50%
What is the probability of getting a sum of 8 from two number cubes?
1
How do you factor sum or difference of two cubes?
Sum and difference of two cubes is factored this way : a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
If you have a two six sided number cubes how many times can you get the sum of 11?
You get the sum of 11 two ways; 5,6 and 6,5.
Example of sum and different of two cubes?
23 = 8, 33 = 27. Sum 35, difference 19...
Why is 1729 a special number for Ramanujan?
According to Ramanujan, it's the lowest number that can be expressed in two different ways as the sum of two cubes (the cubes of 12 and 1; the cubes of 10 and 9). It 's the answer.
What is the probability of getting a sum of 5 when two number cubes are rolled?
4/12
