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 16.403 round to the nearest tenth?
What happened during the first decade of the 1800's that caused increasing tensions with Native Americans.
What phylum do animals with backbones belong to?
Fifty is what percent of 40? A. 20% B. 80% C. 110% D. 125%
what is 68/80 simplified
Which nation was one of the Axis powers during World War II? A. Japan B. Mexico C. Australia D. Switzerland
Please give answers ! 17 points please help
What is the definition of judicial branch
Find the best word to complete the sentence: Members of the Flat Earth Society still believe the ___ idea that the world is flat. A. pretentious B. primordial
The moon outside is very large, but you cannot see all of it. The calendar shows that the moon was invisible just less than two weeks ago. What phase is the moo