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Math Help - Factorize

  1. #1
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    Question Factorize

    Suppose I have to factorize the following expression:

    x^2 + 14x + 33


    This is how I do it:

    x^2 + 11x + 3x + 33 (because 11 + 3 = 14 & 11 * 3 = 33)
    x(x + 11) + 3(x + 11)
    (x + 11)(x + 3)

    But how do I factorize the following 3 expressions?

    x^2 - 1 - 2y - y^2

    4(x - y)^2 - 12(x - y) + 9

    81(x + 1)^2 + 90(x + 1)(y + 2) + 25(y + 2)^2

    Thanks,


    Ron
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  2. #2
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    Quote Originally Posted by rn5a View Post
    Suppose I have to factorize the following expression:

    x^2 + 14x + 33


    This is how I do it:

    x^2 + 11x + 3x + 33 (because 11 + 3 = 14 & 11 * 3 = 33)
    x(x + 11) + 3(x + 11)
    (x + 11)(x + 3)

    But how do I factorize the following 3 expressions?

    x^2 - 1 - 2y - y^2

    4(x - y)^2 - 12(x - y) + 9

    81(x + 1)^2 + 90(x + 1)(y + 2) + 25(y + 2)^2

    Thanks,


    Ron
    Q1 It's the same as x^2 - (y + 1)^2 ....

    Q2 4a^2 - 12a + 9 = (2a - 3)^2 ....

    Q3 81a^2 + 90ab + 25b^2 = (9a + 5b)^2 ....
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