profDannaram profDannaram

26-11-2016
Mathematics

contestada

Factor completely: 9x^2 + 42x + 49

Respuesta :

JcAlmighty JcAlmighty

29-11-2016

The answer is (3x + 7)².

(a + b)² = a² + 2ab + b²

9x² = (3x)² = a² ⇒ a = √a² = √(3x)² = 3x
49 = 7² = b² ⇒ b = √b² = √(7)² = 7

(3x + 7)² = (3x)² + 2 * 3x * 7 + 7² = 9x² + 42x + 49

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