Question
Prove
Va e Z, Vb e Z, 3|(a² + b² ) –
3|a ^ 3|b
where xy means x divides y, i.e., there exists k e Z, xk = y.
Expand
Transcribed Image Text

Prove Va e Z, Vb e Z, 3|(a² + b² ) – 3|a ^ 3|b where xy means x divides y, i.e., there exists k e Z, xk = y.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Boolean Algebra

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: Which of the following sets are closed? Choose ALL that apply. Show the steps. I. The set of negativ...

A: Click to see the answer

Q: Solve the 2nd order differential equation: y"+2y(y')³=0

A: Click to see the answer

Q: Please solve very soon all parts completely

A: aConsider the linear system:x1+4x4=4-2x1+x2-x3-3x4=-9-2x1+x2-7x4=-8bConsider the linear system:ax+bz...

Q: corporate agricultural organization has three separate farms which are to be used during the coming ...

A: aAccording to the question we are having that:Let in a particular year,the cooperation plans for x a...

Q: I have the solutions to this problem. Please provide me with 2-3 examples of similar questions.

A: Click to see the answer

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii) I...

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! = 36...

Q: please and thank you!

A: Note that the angle θ in polar representation r,θ can be increased or decreased by 2π and will give ...

Q: If $9,000 is invested at 9.5% compounded continuously, find the future value after 5 1/2 years. (Rou...

A: Click to see the answer

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F=xi+ 4xj +z*k...

A: Find the explanation below 

Q: [Linear Algebra] How to solve a)?

A: R is rotated counter clockwise by the angle of 5π6. So, θ=5π6.

Q: Homework question is attached

A: Click to see the answer

Q: Problem

A: Concept:

Q: 1) Given that A is 2x2 real matrix. Prove the following statements by usign proof by contradiction: ...

A: Click to see the answer

Q: Let L: be a line and P(5,-5, -4) a point. Let Q be the closest point on L to P. a) Find the point Q....

A: Click to see the answer

Q: The numerical value of x in the equation shown below is (Write the answer only in numbers.) х 7 10 5

A: Click to see the answer

Q: Advanced Math Question

A: Click to see the answer

Q: calc 3 Change from rectangular to cylindrical coordinates. Select such set of cylindrical coordinate...

A: Click to see the answer

Q: Let R : R? → R² be rotation by counter-clockwise around the origin, and S: R? → R² be reflection acr...

A:     Hello. Since your question has multiple parts, we will solve the first part for you. If you want...

Q: Linear algebra

A: Concept: Let A be a m×n matrix. The space spanned by the rows of A is called the Rows space of A,it ...

Q: Suppose a computer takes 1 nanosecond (=10−9 second) to execute each operation. Approximately how lo...

A: (a) Given that, 1 nanosecond=10−9 second. Obtain the value of log2160. log2160=log10160log102       ...

Q: 5. What values should be assigned to coefficients a1, a2, and az, so that the quadrature formula f(x...

A: Click to see the answer

Q: 1 2 find determinant A, det (A) and A- 1 -1 Given matrix A=

A: Click to see the answer

Q: 1. Find a homogeneous linear differential equation with constant coefficients whose general solution...

A: y=c1cosx+c2sinx+c3cos2x+c4sin2x For c1 and c2 α=0, β=1 α±βi0±1i0±i m-im+i=0m2+i2=0m2-1=0

Q: Let E be a function satisfying E(0)=E^ prime (0)=1 Prove that if E(a + b) = E(a) * F * (b) for all a...

A: Given,            There is a function E that satisfies E(0) = E'(0) = 1 and             Ea + b = EaE...

Q: Paper8

A: the multiples of 2 between 1 and 99 are the even numbers . Therefore, there are 49 even numbers from...

Q: Movie Theater Screens Suppose that a movie theater has a screen that is 28 feet tall. When you sit d...

A: The viewing angle is θx=tan-134x-tan-16x where x is the distance between the person and the screen. ...

Q: 9, In a ceremony, out of 800 participants, 20 drank milk, 350 drank tea and 50 did not 520 drink any...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: calc 3 please please please make sure this is right. i need an exact number please Use symmetry to e...

A: The region shaded with combination of green and pink is the required square.

Q: Suppose the solution set of x1 + x2+2x4 What are the equations of the plane at (1,2,3,4) which is no...

A: First we find direction vectors of the plane of solutions.

Q: Find T(v) by using (a) the standard matrix and (b) the matrix relative to B and B'. T: R² → R³, T(x,...

A: Click to see the answer

Q: If the 1st term of an AP is 5 and the 9th term is 25. Find the common difference. An AP contains 30 ...

A: # we are entitled to answer one question. Please resubmit the question again which you wish to get a...

Q: An adjacency matrix of a graph is given below: 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 10 0 0 1 1 1 0 1 ...

A: Click to see the answer

Q: Suppose A = {a1, . . . , am} and B = {b1, . . . , bn}. How many relations are therefrom A to B? Hint...

A: Click to see the answer

Q: A crane lifts a block from ground level at a constant speed. After 5s the block slips from its shack...

A: Click to see the answer

Q: Verify that y(t) = ceat solves the differential equation for unlimited growth, y' = ay, with initial...

A: Click to see the answer

Q: Find the solution to the following initial value problem using Laplace Trans- form: a" + 9x' + 14r =...

A:  

Q: A political candidate wants to use a combination of radio and TV advertisements in her campaign. Res...

A: Given, Each 1 minute spot on TV reaches 0.9 million people. Each 1 minute spot on radio reaches 0.8 ...

Q: please explain.

A: Let a, b, c and d are integers then for ( a + b( 5^ 1/3 ) ) and ( c + d( 5^ 1/3 ) ) in A we have to ...

Q: Advanced Math Question

A: Step:-1 Note:- 1. If f'>0 then f is increasing. 2. If f'<0 then f is decreasing. 3. If a funct...