What is the factored form of 8x^24 – 27y^6

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What is the factored form of 8x^24 - 27y^6

Sarai Dooley Jr. · Accepted Answer

(2x8 - 3y2) • (4x16 + 6x8y2 + 9y4) Step-by-step explanation:

Sarai Dooley Jr. · Answer

4.722Step-by-step explanation:

Sarai Dooley Jr. · Answer

The required factored form of the given expression is Step-by-step explanation:  We are given to find the factored form of the following expression :We will be using the following factorization formula : So, the factorization of the given expression is as follows :Thus, the required factored form of the given expression is

Sarai Dooley Jr. · Answer

8x24-27y6 Final result : (2x8 - 3y2) • (4x16 + 6x8y2 + 9y4) Step by step solution : Step  1  :Skip AdEquation at the end of step  1  : (8 • (x24)) - 33y6 Step  2  :Equation at the end of step  2  : 23x24 - 33y6 Step  3  :Trying to factor as a Difference of Squares :  3.1      Factoring:  8x24-27y6 Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)Proof :  (A+B) • (A-B) =         A2 - AB + BA - B2 =          A2 - AB + AB - B2 =          A2 - B2Note :  AB = BA is the commutative property of multiplication. Note :  - AB + AB equals zero and is therefore eliminated from the expression.Check :  8  is not a square !! Ruling : Binomial can not be factored as the difference of two perfect squaresTrying to factor as a Difference of Cubes:  3.2      Factoring:  8x24-27y6 Theory : A difference of two perfect cubes,  a3 - b3 can be factored into              (a-b) • (a2 +ab +b2)Proof :  (a-b)•(a2+ab+b2) =            a3+a2b+ab2-ba2-b2a-b3 =            a3+(a2b-ba2)+(ab2-b2a)-b3 =            a3+0+0+b3 =            a3+b3Check :  8  is the cube of  2 Check :  27  is the cube of   3 Check :  x24 is the cube of   x8Check :  y6 is the cube of   y2Factorization is :             (2x8 - 3y2)  •  (4x16 + 6x8y2 + 9y4) Trying to factor as a Difference of Squares :  3.3      Factoring:  2x8 - 3y2 Check :  2  is not a square !! Ruling : Binomial can not be factored as the difference of two perfect squaresTrying to factor a multi variable polynomial :  3.4    Factoring    4x16 + 6x8y2 + 9y4 Try to factor this multi-variable trinomial using trial and error  Factorization failsFinal result : (2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)

Sarai Dooley Jr. · Answer

Factoring:    Theory : A difference of two perfect cubes,   can be factored into              Proof :                                                   Check :  8  is the cube of  2  Check :  27  is the cube of   3  Check :   is the cube of    Check :   is the cube of    Factorization is :

Sarai Dooley Jr. · Answer

The answer is x^6(2X^6-3)(4X^12+6X^6+9)

Sarai Dooley Jr. · Answer

The answer will be (2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)

Sarai Dooley Jr. · Answer

The factored form of that expression is,(2x^8-3y^2)(4x^16+6x^8y^2+9y^4).

Dr. Karlee Tillman

What is the factored form of 8x^24 – 27y^6

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