nessie3of8 nessie3of8
  • 02-07-2020
  • Mathematics
contestada

Use the Binomial theorem to expand and where possible simplify the expression. (1+√3)^4 +(1-√3)^4

Respuesta :

liftec liftec
  • 02-07-2020

Answer:

=56

Step-by-step explanation:

Binomial theorem:  (x+y)=x²+2xy+y²   or  (x-y)=x² -2xy+y²

(1+√3)⁴ +(1-√3)⁴= ((1+√3)²)² +((1-√3)²)² =  (1+2√3+3)² + (1-2√3+3)²=

=(4+2√3)² + (4-2√3)²= (16+16√3+12) + (16 - 16√3+12) =28+16√3+28-16√3=56

Answer Link

Otras preguntas

What is 100 to the 20th power called?
Explain how to do this math problem all the way threw 6times2 and 7/10
why is a square always symmetrical
Pls help me and don't ignore this: The annual County Carnival is being held this summer and will last 5 and 1/2 days You are the owner of the biggest and newest
Besides, what could they see but a hideous and desolate wilderness, full of wild beasts and wild men-and what multitude there might be of them they knew not...t
Arc AB is congruent to arc CD. What is the length of chord AB? AB= (6m-2) CD=(5m+2)
Why did most volunteers stay to defend the alamo when they knew it meant almost certain death?
y divided by 4 =40 what is y
use the circle graph to determine how many hours per day Becky spends on each activity
Ruiz needs to buy a countertop for a kitchen. He calculated the area to be 16 square feet. The actual area is 15.4 square feet. What is Ruiz's percentage error?