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

Look at the photo I’m about to have to math class i need help! I’ve got 15 mins! I will also give brainlyest for the big help.
The points (-1, -3) and (2, r) lie on a line with slope 3. Find the missing coordinate r.
How can 1% of 300 be used to determine 64% of 300? Enter your answers in the boxes to correctly complete the statement. Please help me!
Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identif
How long does it take for chlamydia to show up in females.
3 3/4 ÷ 5 5/8 = in simpilest form
what is commercial agriculture​
HURRY PLEASE PLEASE A high school auditorium is used for two meetings over the 100 minutes. The polynomial function p(x) models the number of open seats in the
What is reciprocal teaching?
The first step in the Theory of Constraints is to:_____. a. Build a buffer inventory in front of the constraint. b. Identify the bottleneck. c. Measure the outp