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3 July, 11:15

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

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  1. 3 July, 11:30
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    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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