EmmaTelpis EmmaTelpis
  • 13-09-2021
  • Mathematics
contestada

write the expression as a square of a binomial

x^(4)-8x^(2)y^(2)+16y^(4)

Respuesta :

Happil
Happil Happil
  • 13-09-2021

Answer:

[tex](x^2 -4y^2)^2[/tex]

Step-by-step explanation:

[tex]x^4 -8x^2 y^2 +16y^4 \\ x^4 -4x^2 y^2 -4x^2 y^2 +16y^4 \\ (x^4 -4x^2 y^2) +(-4x^2 y^2 +16y^4) \\ x^2(x^2 -4y^2) -4y^2(x^2 -4y^2) \\ (x^2 -4y^2)(x^2 -4y^2) \\ (x^2 -4y^2)^2[/tex]

Answer Link

Otras preguntas

What type of molecule is doing the "work" in the picture
R^2+4r+3 complete the square
Which of these is a simplified form of the expression –b – 2(2b + 5)?
sofia took piano lessons for 18 months.How many years is that show your work
What is the period of a water wave with a frequency of 0.5 Hz?
John earns an 8% commission for each television he sells. If John sells a television for $700, how much commission will he earn?
The Hawley Smoot Tariff was designed to protect ______. A) U.S borders B) U.S military C) American industry D) American agriculture
explain briefly the use of computers in the education​
Javier, the owner of Javier's Tacos, has noticed that residents of his town are flocking to a new taco truck in increasing numbers. After doing some research, J
I need 3 examples of herd behaviors in high school! THANKS!!!