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a3 + b3 = (a + b)(a2 - ab + b2)
a3 - b3 = (a - b)(a2 + ab + b2)
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∙ 11y ago
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How do you factor 121a2 plus 144b2?
There is a formula for the difference of two squares. The sum of two squares doesn't factor.
What is the Definition of Factoring sum or difference of two cubes?
a^3 + b^3 = (a + b)(a^2 - ab + b^2) a^3 - b^3 = (a - b)(a^2 + ab + b^2)
How do you factor for cubes?
The answer will depend on what you mean by "do the sum". Why not simply add them together? For example 93 = 729 and 103 = 1000 so 93 + 103 = 729 + 1000 = 1729. NB: Totally irrelevant to the question, but the above example is the smallest integer that can be expressed as a sum of two positive cubes in two different ways - as Ramanujan was to inform the Cambridge (UK) mathematician Hardy.
When a polynomial has two terms how many methods might be used for factoring it?
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)
How do you factor x3-x?
That can't be factored. In general, a binomial (i.e., a polynomial with two parts) can only be factored if both parts have a common factor, or if you can express it as the sum or difference of squares, cubes, etc.
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)
What are the kinds of factor?
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.
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.
How do you binomials?
There are many different methods to factor polynomials in general; specifically for binomials, you can check:whether you can separate a common factor,whether the binomial is the difference of two squares,whether the binomial is the sum or difference of two cubes (or higher odd-numbered powers)
Example of sum and different of two cubes?
23 = 8, 33 = 27. Sum 35, difference 19...
What do you call the expression x3 y3?
That's either the sum or difference of two cubes.
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)
How do you factor 121a2 plus 144b2?
There is a formula for the difference of two squares. The sum of two squares doesn't factor.
When can a polynomial is said to be sum or difference of two cubes?
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
Definition of sum of two cubes?
a3 + b3
What are the 5 kinds of factoring?
the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.
The sum of two numbers is k Find the minimum value of the sum of their cubes?
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