If a, b, m and n are integers, and if c ⎸a and c ⎸b, then c ⎸(am + bn) If p is prime, p divides a^2  + b^2 and p divides b^2 + c^2 , then p divides a^2 + c^2 show full explanation type written if possible

Q: 10,11,12 Written like 1,2,3 in x factor form

A:

Q: What is the value of k to make the expression kx^2+3kx+9 a perfect square

A:

Q: what are ways to express that 6 is a multiple of 2?

A:

Q: c. A = ; ==G 4 4 3 -2 3 2

A: Given A=242131B=-1111-2-1C=242131D=1-1-1-121 Clearly  C=AD=-B

Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern, what is the greatest number in this…

A:

Q: If both p and p^2 +8 are prime numbers then show that p^3+4 is also prime number

A:

Q: Find all possible values of P in x^2+10x+P=(x-A)(x-B) if P, A and B are all whole numbers

A: To find all possible values of P in x2+10x+P=(x-A)(x-B) if P,A and B are all whole numbers.

Q: Show that 2 + V5 is imational number

A:

Q: let a = 3^4 7^3 11^2 13^5 and b = 2^6 5^2 7^2 11^3 13^4 Determine the values of (a,b) and [a,b] and…

A:

Q: 5. y' = 2x?y – 4y %3D

A: 5 Given differential equation is y'=2x2y−4y......1. We have to find the solution of the given…

Q: Find the number of positive integers not exceeding 100 that are either odd or the square of an…

A: The objective is to find the number of positive integers not exceeding that are either odd or the…

Q: 4. Given u = 72, o = 6, n=45. 5. A population has mean 5.75 and standard deviation of 1.02. If a…

A:

Q: Integers with different values in each digit can be expanded in a similar way. For these integers,…

A: Let we have a number 5267843 This number can be expanded as…

Q: SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

A: We prove this by induction.

Q: Show by induction that 4 divides 2m^2 +6m for an integer m>0

A:

Q: Find the least common multiple of 2^2,3^3 ,5 and 2^3 ,3^2,7. (You do not need to fully simplify your…

A:

Q: Find 1 - 2/1 + 4/1 - ... + (-1)^37  2^37/1^37

A: 11-21+41-...........+-13723713720-21+22-23+.........-23720+22+24+......+236-21+23+25+.........+237

Q: prove if a and b are both odd integer, then 16/ (a^4) + (b^4) -2.

A:

Q: 3/712 = %3D с.

A: Since you have posted more than one question we solve the first one for you. For the remaining…

Q: Select all numbers that are rational: 0-V100 O-77 -13 3 V37 O 0.1234 O-V12

A: we have to identify which among the following are rational numbers.

Q: Find the number of positive integers not exceeding 1000 that are either the square or the cube of an…

A:

Q: Determine the values of r for which the differential equation y" - 25y = 0 has solutions of the form…

A:

Q: (13+3^3)/4+4/2*6/12 020 011 030 ONone of the above

A: In this question, we will use order of operations.

Q: Which of the following expressions will NEVER yield an odd integer, given that a and b are positive…

A: Given expressions are:                    A. a2+b2B. (a+2)3+b2 C. (2a)3+12bD. 2a+3b2E. 4a-b4

Q: The operation * is defined over the set of real numbers "R" by a * b = a + b + 1/2ab. What is 6 * (2…

A: Given that the relation defined on real number R as a*b=a+b+12abTo find 6*(2*5)?

Q: When (4x+y)^6 is expanded state the value of k in each term a). 1280x^3y^k b). kx^2y^4

A: