What is the factorisation of X 3 1?
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What is the factorisation of X 3 1?
Algebra Examples Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 – b 3 = ( a – b ) ( a 2 + a b + b 2 ) where a=x and b=1 .
How do you Factorise expression?
To factorise an expression fully, take out the highest common factor (HCF) of all the terms. For example, is the HCF of 4 x 2 and as 2 is the biggest number that will divide into 4 and 6 and is the biggest variable that will divide into and .
What is the factor of x³ a³?
Factor the Difference of Two Squares and the Sum and Difference of Two Cubes
| Difference of Two Squares | x² – a² = (x – a)(x + a) |
|---|---|
| Perfect Squares | x² – 2ax + a² = (x – a)² |
| Sum of two cubes | x³ + a³ = (x + a)(x² – ax + a²) |
| Difference of two cubes | x³ – a³ = (x – a)(x² + ax + a²) |
How do I factorize an expression?
Factor Any Expression 1 Step 1: Enter your expression below 2 Step 2: Click the Blue Arrow to factorize! More
What is the formula for the factorization of (x3 – 1)?
(x³ – 1) = (x – 1)³ + 3x² – 3x. But if the given equation is (x3 – 1) or (3x – 1), then it can not be factorised because it is in the simplest form. Seniors using loophole to save for retirement. When it comes to building your nest egg, you have more options than you may think. Factorization depends on the ground field.
What is the factorisation of a number a^3B^3?
It is of the form a^3-b^3 where a=x and b = 1 so factorisation is (a-b) (a^2+ab+b) that is Interestingly, none of the 10 answers so far are doing it the easy way.
Is x – 1 a divisor of x 3 – 1?
Using the theorem, we can state that x − 1 is a divisor of x 3 – 1. Now we need to perform divison of polynomials, as we already know that x 3 – 1 evenly divides x − 1. The method of long divison can be implemented to get that the divison of x 3 – 1 by x – 1 is equal to x 2 + x + 1.