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

How do I solve for x? X+6x=56
india takes the two hour train ride from minneapolis to chicago every dummer to visit her grandparents. The train traveled 44 7/16 (thats a mixed number) mile
how do u find the area of a triangle
select the product of (3x-4)(3x4)
'for a good cause if you are determined you are able to overcome any obstacle'. explain
Which characteristic is shared by sonnets and haiku?
A movie starts at 7:00 pm and lasts 108 minutes. What time does the movie end?
how do u find the area of a triangle
the graph below shows the distribution of students grades on their last math test. Based on the Empirical rule, what percent of students made.. *btwn 80 n 85 o
David helped his father stock the pond with baby catfish and blue gill. They put in a total of 75 fish. If the number of blue gill was doubled and the number of