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How do you factor x^6 - 1?

source : socratic.org

How do you factor x^6 – 1?

Use difference of squares, difference of cubes and sum of cubes:

[1]: #a^2-b^2 = (a-b)(a+b)#

[2]: #a^3-b^3 = (a-b)(a^2+ab+b^2)#

[3]: #a^3+b^3 = (a+b)(a^2-ab+b^2)#

#x^6-1#

#=(x^3)^2-1^2#

#=(x^3-1)(x^3+1)# by [1]

#=(x^3-1^3)(x^3+1^3)#

#=(x-1)(x^2+x+1)(x+1)(x^2-x+1)# by [2] and [3]

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Fraction Calculator & Problem Solver – Chegg – 5 x − 3 y = 6 4 x − 5 y = 1 2 \begin{array} {l} {5x-3y = 6} \\ {4x-5y = 12} \end{array} 5 x − 3 y = 6 4 x − 5 y = 1 2 See answer › Powers and roots 21 in. x 6 in. x 6 ft. Common Board $ 7 64. Overview Every piece meets the highest grading standards for strength and appearance. This lumber is for a wide range of uses from framing of houses to basic interior finishing applications. Boards can also be used for carpentry, hobbies, furniture, shelving, and general finish work.Simplify (x-6)(x-1) Expand using the FOIL Method. Tap for more steps… Apply the distributive property. Apply the distributive property. Apply the distributive property. Simplify and combine like terms. Tap for more steps… Simplify each term. Tap for more steps… Multiply by . Move to the left of . Rewrite as .

1 in. x 6 in. x 6 ft. Common Board-914762 – The Home Depot – 4.1 Find the Vertex of y = x 2-x-6 Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .Factor the expression x^6-1, using the following methods (a)Factor the expression by treating it as the difference of two squares, (x^3)^2-1^2 (b) Factor the expression, treating it as the difference of two cubes, (x^2)^3-1^31/x. Extended Keyboard; Upload; Examples; Random; Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… Wolfram|Alpha brings expert-level knowledge and

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Simplify (x-6)(x-1) | Mathway – Which one of the following statement is correct? (1) If x^6 + 1 is divided by x + 1 reminder is -2. (2) If x^6 + 1 is divided by x – 1 reminder is 2. (3) If x^6 + 1 is divided by x + 1 reminder is 1. (4) If x^6 + 1 is divided by x – 1 reminder is -1. – Get the answer to this question by visiting BYJU'S Q&A Forum.The Convair X-6 was a proposed experimental aircraft project to develop and evaluate a nuclear-powered jet aircraft.The project was to use a Convair B-36 bomber as a testbed aircraft, and though one NB-36H was modified during the early stages of the project, the program was canceled before the actual X-6 and its nuclear reactor engines were completed. . The X-6 was part of a larger series of1 in. x 6 in. x 8 ft. Common Board. Highest quality apprarance, smooth surfacing and square edges. Stainable and Paintable; FSC enviremental certification $ 10 19. Frequently Bought Together. Frequently Bought Together. This item: 1 in. x 6 in. x 8 ft. Common Board. Product Overview

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