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

Verified Answer :

JcAlmighty

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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