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

Can someone PLEASE help me?!
Disadvantages of GTZ Model for designing science textbooks
Solve for x. Round to the nearest tenth, if necessary.
plz help answer fast irrelevant answers will be reported ​
Describe life during ancient Egypt (2-3 sentences plz)
A firm is considering two different capital structures. The first option is an all-equity firm with 75,000 shares of stock. The second option is 50,000 shares o
Solve the inequality 5x + 3 2 >48
What kind of people can be negative influence in your life?​
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the spac
Keys, Inc. purchased 100 shares of its own common stock for $10 per share. The stock is now classified as ______ stock, a contra equity account, reported on the