a^3 + b^3 = (a + b)(a^2 - ab + b^2)
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Step 1. Look for a GCF. Step 2. Look for the difference of squares. ex: a2 - b2 = (a+b)(a-b) Step 3a. Look for the difference of cubes. ex: a3 - b3 = (a-b)(a2 + ab + b2) Step 3b. Look for the sum of cubes. ex: a3 + b3 = (a+b)(a2 - ab + b2)
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
There is a formula for the sum of cubes. In this case, it's (b + 1)(b^2 - b + 1)
Summation means to sum up, or find the total.
They are opposite operations. Ex: product of a sum and difference... (x+a)(x-a) = x2 - a2 but the difference of squares factors as a sum and a difference... x2 - a2 = (x+a)(x-a) See... opposites, they just reverse.
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
That means that you calculate the cubes of two numbers, and then either add or subtract them.
a3 + b3
Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and resubmit.The question, as it appears does not seem to have cubes!
Their sum and their difference.
Try all the factoring techniques that you have been taught. If none work then it is prime (cannot be factored), try looking for (1) a greatest common factor (2) special binomials ... difference of squares, difference (or sum) of cubes (3) trinomal factoring techniques (4) other polymonials look for grouping techniques.
Sum and difference of two cubes is factored this way : a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.
23 = 8, 33 = 27. Sum 35, difference 19...
That's either the sum or difference of two cubes.
X3 + a3 = (X + a)(X2- aX + a2)Just a formula so that when you see an expression of any value that is additive cubes ( on the left ) then you can factor it. Works in any direction and some expressions can be manipulated into this form for factoring.
Step 1. Look for a GCF. Step 2. Look for the difference of squares. ex: a2 - b2 = (a+b)(a-b) Step 3a. Look for the difference of cubes. ex: a3 - b3 = (a-b)(a2 + ab + b2) Step 3b. Look for the sum of cubes. ex: a3 + b3 = (a+b)(a2 - ab + b2)