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

If the circumference of a baseball is 24 cm what is the volume of the object
Indicate true or false as to whether the following equation is quadratic 2x-4x+1=0
what type of monkey starts with an h?
Explain why shorelines are always changing
The radius of a bicycle wheel is 12 in. What is the approximate circumference of the wheel?
1.How and why did the universe begin?2.Whats the point of life? Why are we here?3.Are we alone in the universe?4.Are moral values relative or absolute?5.Should
The edge of one cube is 4 m shorter than the edge of a second cube. The volumes of the two cubes differ by 1216 m^3. Find the edge of the smaller cube.
In a right-angled triangle, the side opposite the right angle is unknown, how do you find out the unknown length? (Hypotenuse I think)
You can divide any parallelogram into two matching triangles. How is this useful?i need to know this answer right now please
There were 75 rocks is Boxes A,B, and C. After moving 28 rocks fro Box A to B, 24 rocks from B to C, and 19 rocks from C to A,there was an equal number of rocks