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 does the underlined word most likely mean? The music was booming, and my friend had to shout vociferously to get my attention.
In first grade, scott is unfairly singled out by his teacher for bad behavior, partly because his older brothers had behavioral problems themselves. throughout
Explain how a battery works.
If it takes 26 hours for Jane to paint a house, and it takes 22 hours for Julie to paint the house, how long will it take them working together? (Round your ans
The function f(x) = square root -x is shown on the graph. Which statement is correct?
What are nine main psychological approaches?
Is 90 percent of alcohol metabolized through the liver?
What happens when the bulb is replaced with a bulb having a lower resistance
Solve -(3x-2) = -4(X + 1) - 4
How did the Missouri Compromise deal with the issue of slavery? A) It required all territories to abolish slavery before becoming states. B) It made the Missi