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r² + 10rs + 25s² - 9 =
(r² + 10rs + 25s²) - 9 = El parentesis es un trinomio al cuadrado
perfecto a² + 2ab +b² = (a + b)²
(r² + 2 * 5rs + 5²s²) - 9 =
(r + 5s)² - 9 = Tienes una diferencia de cuadrados
a² - b² = (a + b)(a - b)
(r + 5s + 3)(r + 5s - 3)
Respuesta.
(r + 5s + 3)(r + 5s - 3)