For specific positive numbers m and n, the quadratics 16x^2 + 44x + 56 + 4x^2 - 14x - 30 and (mx + n)^2 differ only in their constant term. What is mn?

Guest Jun 22, 2022

#1**+1 **

The first quadratic simplifies to 20x^2 + 30x + 26, and the second one expands to m^2x^2 + 2mnx + n^2. As the constant terms are the only terms that are different between these two, we know that 2mnx = 30x. Simplifying, we get \(mn=\boxed{15}\)

SparklingWater2 Jun 22, 2022