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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.

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Q: When can a polynomial is said to be sum or difference of two cubes?
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A word that means a monomial or a sum or difference of monomials?

A polynomial


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)


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.


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.


Can the sum of three polynomials again be a polynomial?

The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.


What is the difference between a term and a polynomial?

A term only has variables and constants multiplied among themselves (or, in some cases, divided), such as 5xy, or -3x3. A polynomial is the sum of several such terms.


What is the relationship between monomials binomials and trinomials?

A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.


Which property of polynomial addition says that the sum of two polynomials is always a polynomial?

It is called the property of "closure".


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)


Which polynomial represents the sum below?

Answer this ques Which polynomial represents the sum below?(-x3 + 3x2 + 3) + (3x2 + x + 4)tion…


What is the sum of the cubes of first 100 whole numbers?

The sum of the cubes of the first 100 whole numbers is 25,502,500.