What is the factored form of 27x 3 8y 3?

What is the factored form of 27x 3 8y 3?

Aviv S. The factored polynomial is (3x−2y)(9×2+6xy+4y2) .

How do you break apart a x 3 8?

We have to factorize x^3 + 8. Therefore x^3 + 8 can be factorized as (x+2)(x^2 – 2x + 4).

How do you remember a 3 b 3?

This can be tricky to remember because of the different signs—the factored form of a3 + b3 contains a negative, and the factored form of a3 – b3 contains a positive! Some people remember the different forms like this: “Remember one sequence of variables: a3 b3 = (a b)(a2 ab b2).

How do you factor 27-8t^3?

Rewrite 27 27 as 33 3 3. Rewrite 8t3 8 t 3 as (2t)3 ( 2 t) 3. 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 = 3 a = 3 and b = 2t b = 2 t. Simplify. Tap for more steps… Multiply 2 2 by − 1 – 1. Raise 3 3 to the power of 2 2.

What are the factors of 3 [solved]?

3 is a prime number.

Prime factorization: 3 is prime.

The exponent of prime number 3 is 1. Adding 1 to that exponent we get (1+1) = 2. Therefore 3 has exactly 2 factors.

Factors of 3: 1,3

Factor pairs: 3 = 1 x 3

3 has no square factors that allow its square root to be simplified. √3 ≈ 1.732.

How do you factor out a polynomial?

The factoring of a polynomial refers to finding polynomials of lower order (highest exponent is lower) that, multiplied together, produce the polynomial being factored. For example, x^2 – 1 can be factored into x – 1 and x + 1. When these factors are multiplied, the -1x and +1x cancel out, leaving x^2 and 1.

How to factor expressions completely?

Factor a GCF from the expression,if possible.

Factor a Trinomial,if possible.

Factor a Difference Between Two Squares as many times as possible.