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    Question

    What is the square root of the following? (x²

    –12x+36) (x² + 8x + 16)
    A (x–4) (x+6) Correct Answer Incorrect Answer
    B (x–4) (x+9) Correct Answer Incorrect Answer
    C (x-6) (x+4) Correct Answer Incorrect Answer
    D (x–3) (x+8) Correct Answer Incorrect Answer

    Solution

    (x² –12x+36) = (x² –6x-6x+36) =x(x-6)-6(x-6) =(x-6) (x-6) (x² + 8x + 16) (x² + 4x+4x+16 =x(x+4) +4(x+4) =(x+4) (x+4) Square root= √ (x-6) (x-6) × (x+4) (x+4) =(x-6) (x+4)

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