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Sum and difference of two cubes is factored this way :

a3 + b3 = (a + b)(a2 - ab + b2)

a3 - b3 = (a - b)(a2 + ab + b2)

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Q: How do you factor sum or difference of two cubes?
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Related questions

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 factor the sum and difference of two cubes?

a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)


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.


Sum and difference of two cubes?

a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2