BlossomFlower
BlossomFlower BlossomFlower
  • 08-04-2015
  • Mathematics
contestada

Factor completely: 81x^4 – 1

A. (9x + 1)(9x – 1)
B. (9x^2 + 1)(9x^2 – 1)
C. (3x^2 + 1)^3(3x – 1)
D. (9x^2 + 1)(3x + 1)(3x – 1)

Respuesta :

konrad509
konrad509 konrad509
  • 08-04-2015
[tex]81x^4-1=\\ (9x^2)^2-1^2=\\ (9x^2+1)(9x^2-1)=\\ (9x^2+1)((3x)^2-1^2)=\\ (9x^2+1)(3x+1)(3x-1)[/tex]
Answer Link
eu99li
eu99li eu99li
  • 08-04-2015


Using this: a²-b²=(a+b)(a-b)

81x^4-1=

(9x²)²-1=

(9x²-1)(9x²+1)=      (in the bold half we use the formula again)

(3x+1)(3x-1)(9x²+1)

So the answer is D


Answer Link

Otras preguntas

How does Miller use lighting, the set, blocking, and music to differentiate between action in the present and "memory" action?
Using relevant examples,write an essay on the importance of the major relief regions and features in Ghana
Help again please 33 points
An musician by the time she made her debut in the United States in 1922, Julia Myra Hess had already established herself as one of England's premier concert pia
According to the first law of thermodynamics, what quantity is conserved?.
What was the result of the Compromise of 1877? Electoral college laws were passed that reworked the process of the presidential election. O Jim Crow laws forced
She's playing games As the man do I always have to chase? If she likes me will she message me first too?
How would you describe Hip Hop music?
What term refers to a formal on the job training program in which a worker shadows someone more experienced in the field?
Read the excerpt from Shirley Chisholm’s presidential announcement speech. Instead of watching a football game on television while young people beg for the atte