What is the HCF of x^{4}-13x^{2}y^{2}-300y^{4}, x^{3}-4x^{2}y-4xy^{2}-5y^{3} and x^{3}-125y^{3}?

  1. A. x-5y
  2. B. x+5y
  3. C. x^{2}+5xy+25y^{2}
  4. D. 1

Correct Answer: A. x-5y

Explanation

The third expression x^3-125y^3 = (x-5y)(x^2+5xy+25y^2). Checking x=5y in the first and second expressions yields 0, confirming (x-5y) is a common factor to all three.

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