pugglitter8151 pugglitter8151
  • 02-03-2022
  • Mathematics
contestada

Factor completely 81x8 − 1. (9x4 − 1)(9x4 1) (3x2 − 1)(3x2 1)(9x4 − 1) (3x2 − 1)(3x2 1)(9x4 1) (3x2 − 1)(3x2 1)(3x2 1)(3x2 1).

Respuesta :

UrMomsAGuy69 UrMomsAGuy69
  • 03-03-2022

Answer:

(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

Using the identity for the difference of 2 squares;

a^2 - b^2 = (a - b)(a + b)  

we put a^2 = 81x^8 and b^2 = 1  giving

a = 9x^4 and b = 1, so:

81x^8 − 1 =   (9x^4 - 1)(9x^4 + 1)

Applying the difference of 2 squares to 9x^4 - 1:

= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Answer Link

Otras preguntas

what is the absolute value of -4?
Chlorine (cl) has an atomic number of 17. it often forms an ion by gaining 1 electron. what would its charge be?
The only internet service used more frequently than the web is ___, which is a system for exchanging messages through a computer network.
which parent function is represented by the graph
Which characteristic do Venus and Earth share? same direction of rotation similar size, mass, and density slow revolution period around the Sun atmosphere compo
The scores of 1000 students on a standardized test were normally distributed with a mean of 50 and a standard deviation of 5. what is the expected number of stu
The secretions of endocrine glands _____
the line passing through point (2, 2) and perpendicular to the line whose equation is y = x
Which hygene claim is supported by research ?
In Figure 1, starting from the left, what magnetic poles are shown on the two bar magnets?