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

according to the monk what is one of the fortune's traits?
Chang drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would he need to drive 357 miles?
In thinking about the case of Candace described in Chapter 7 Section 7.5, do you think that Candace benefited or suffered as a result of consistently being pass
What geographic feature separates Europe from Africa? the Caspian Sea the Ural Mountains the Mediterranean Sea the Caucasus Mountains
How to rewrite 9 1/8 as a radical expression
Bruce has a pet worm that fell into a well. The well is 37 feet deep. Each day, the worm climbs up 7 feet, but each night, it slides back down 2 feet. How many
6 (1 - x) = -7x + 10
Terry can ride 30 miles in 2 hours. If his riding speed is reduced by 3 mph, how far can he ride in 1.7 hours? ___ miles.
what happens when enough run-off water gathers to flow farther downhill?
How does a seismologist minimize the impact of earthquakes?