True or false: If a,b,m are integers with m > 0 satisfying m|(a^2 − b^2), then m |(a −b). Justify your answer.

How many integer solutions to x1 + x2+ x3+ x4 = 36 are there for which x1 > 5, x2 > 3, xz > 5 and x4 > 6?

Which of the followings are true (false) in the set of real numbers? A) (Vx) (y) (x+y=10) B) (3x) (Vy) (x+y=10) (select the correct answer) A-true, B-true A-true, B-false A-false, B-false A-false, B-true

а) In(x) — 3(Vinх) + 2 3D0 b) 25* – 8(5*) = -16

How many nonnegative integer solutions are there of the equation x1 +x2 +x3 =18?

Prove with usual notations that

What is the value of 2x* + 5x3 +7x? – x +41 , if it is known that x=-2-3i Select one: O a. - 6 b. 6+ i -6-i Od. ge au.edu.tr/mod/quiz/attempt.php?attempt=139247&cmid%3D76850&page34# pe here to search 6.

15f(n)=(2n+1)^(2)-(2n-1)^(2)-10 where is an integer. Prove that f(n) is never a multiple of 8

In R show that @ 201x1² + 2 y ²¹ = x + ² + 1x-y|₁² 2 2

Let (x) = -7x* + 3x² a) (-x) = ? 2. b) Ax) = ? c) Which is (x) : even, odd, or neither ? Why?