(d) Suppose a, b, c, and d are all positive integers. If ab > cd, then a + b >c+d. (e) The sum of two perfect squares is always a perfect square. (An integer is a perfect square if it is the square of another integer. For example, 25 is a perect square since it equals 5².) (f) The sum of two perfect squares is never a perfect square.

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A: Proof :-

Q: ove the statements: e difference of the squares of any two consecutive integers is

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A:

Q: Find a counterexample to show that each of the statements is false.

A:

Q: In the 1989, Journal of Number Theory paper, N. Tzanakis and B. de Wegner showed that the largest of…

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A: Solution

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Q: (1) Prove that every perfect square is either a multiple of 4 or e more than a multiple of 4. [Hint:…

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A:

Q: (2.1) Factor completely, if a polynomial cannot be factored, say so: a) 6 m*n – 9 m³ n²– 3 m² n³ b)…

A: Topic = Algebra

Q: 3. Determine the value of K so that x+3x +kx - 24 has x +2 as a factor.

A: Solving the problem by putting the the value of zeros in given equation.

Q: Prove that 3n² - 1 is never a perfect square.

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Q: Which integers are quadratic residues of 11?

A:

Q: um value of -+ b + c c + a + a+b

A: