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 the colored part of your eye called
How to solve 4m+10 -3m+80
Select all of the answers that apply. Which of the following factors caused the early atmosphere to become thicker? volcanic outgassing meteorite and comet i
Choose the correct product of (7x − 3)(7x + 3).
What is pneumonoultramicroscopicsilicovolcanoconiosis?
Read the sentence below, and use context clues to determine the meaning of the word plethora. After the successful concert, the band was flooded with a plethora
Roger earns $24 a week mowing lawns. he spends 1/6 on lunch and 2/3 on music. He saves the rest. How many dollars does Roger save?
Describe how species on the Galapagos Islands have changed over time.
In what ways were private theatres different from public theatres? Select all that apply. Private theatres were more costly. Private theatres were partially enc
Why did the Shang dynasty collapse?