Factoring Binomials as sum or difference of cubes
Factoring Binomials as sum or difference of cubes Calculator is a handy tool that determines the factoring of polynomials by providing the inputs in the below box and hitting on the calculate button to display the result along with elaborate solution steps in less time.
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Here are some samples of Factor by Sum or Difference of Cubes calculations.
Factoring Binomials as sum or difference of cubes Calculator: Do you wonder how it can be possible to determine factoring polynomials using sum or difference of cubes method? Not to worry as you have come the right way here is the solution for it ie., free online calculator. This Factoring binomial as sum or difference of cubes Calculator will make your lengthy calculations easier & faster. Learn more about what it is & steps to Find the Binomial Factor using Sum or Difference of Cubes easily from here.
What is the Sum and Difference of Cubes in Algebra?
In algebra, A polynomial in the form a^3 + b^3 is called a sum of cubes. A polynomial in the form a^3 – b^3 is called a difference of cubes.
Both of these polynomials have the same factored pattern & these patterns can be defined as the formulas to solve Factoring binomials as Sum or Difference of Cubes
The formula for Factoring a Sum of Cubes:
a^3 + b^3 = (a + b)(a^2 – ab + b^2)
The formula for Factoring a Difference of Cubes:
a^3 – b^3 = (a – b)(a^2 + ab + b^2)
How to Find the Binomial Factor using Sum or Difference of Cubes?
To find the sum or the difference of cubes, you have to apply one of two factoring formulas. They are almost the same, with one small difference ie., the placement of the minus sign.
In the formula for factoring the sum of cubes, the minus sign is located in the quadratic factor: a^2 – ab + b^2. In factoring the difference of cubes formula, the minus sign is placed in the linear factor: a – b.
Memorize these two formulas and make use of them while solving the factoring binomials as a sum or difference of cubes. The steps that you should follow to calculate the factoring the sum or difference of cubes is as under:
- Write Both Numbers as Cubes.
- Write down the Formula for the Sum of Cubes or Difference of Cubes according to your requirement.
- Substitute the Values in the needed Formula and finally get the exact result that you are looking for ie., Factoring of the given polynomial.
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FAQs on Factoring Binomials as Sum or difference of cubes Calculator
1. What is the formula for Factoring a Sum of Cubes?
The formula for Factoring a binomial as Sum of Cubes is a^3 + b^3 = (a + b)(a^2 – ab + b^2).
2. What is the formula for Factoring a Difference of Cubes?
The formula for Factoring a Binomial as Difference of Cubes is a^3 – b^3 = (a – b)(a^2 + ab + b^2).
3. How do you factor binomials as sum or difference of cubes?
If you want to do it manually then know the formulas from the above sections & apply it to get the result easily. Or else, if you want to calculate using a calculator then utilize our Factoring Binomials as Sum or difference of cubes Calculator & get results in seconds.
4. How can I find factoring polynomials using sum & difference of cubes formulas?
First, consider the binomial and write down the numbers in cubes. Now, take one of the formulae ie., the sum of cubes or difference of cubes that fit your expression and apply the formula to calculate the final binomial factoring.