Which of the following is/are the factor(s) of (3x + y)^2 + (3x + y)(x + 5y) - 20(x + 5y)^2? I. (4x + 13y) II. (x + 19y) Select the correct answer using the code given below.

Explanation

Let A = 3x+y and B = x+5y. The expression is A^2 + AB - 20B^2, which factors to (A+5B)(A-4B). Substituting back: A+5B = (3x+y) + 5(x+5y) = 8x+26y = 2(4x+13y). And A-4B = (3x+y) - 4(x+5y) = -x-19y = -(x+19y). Both given expressions divide the polynomial.

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