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20 November, 09:37

Factor the expression completely over the complex numbers.

y^4+12y^2+36

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  1. 20 November, 10:07
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    Y⁴ + 12y² + 36

    Now factorize the expression

    y⁴ + 6y² + 6y² + 36

    = y² (y² + 6) + 6 (y² + 6)

    = (y² + 6) (y² + 6)

    Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.

    so multiply both.

    (y² + 6) ² is the answer.
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