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Math Help - Factorise and simplify

  1. #1
    Junior Member turbod15b's Avatar
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    Factorise and simplify

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  2. #2
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    I. What is x^2 - y^2?
    II. a^2 + 2ab + b^2 = (a + b)^2. What is a? What is b?
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  3. #3
    A riddle wrapped in an enigma
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    Hello turbo,

    (I) 2x^2-2y^2

    Always look for common monimial factors over the terms of the polynomial. In this case, 2 is a common factor. Now, we have

    2(x^2-y^2)

    You should recognize the difference of two squares. You should memorize the pattern for factoring it. I'll leave the finish for you.


    (II) 64x^2+16xy+y^2

    You may or may not recognize this as a perfect square trinomial, but you should see that the first and last terms are perfect squares. You should also memorize a factorization pattern for this.

    x^2+2xy+y^2=(x+y)^2


    You can do the rest.

    (III) 36x^2z-21xyz+15yxz-6y^2z

    You should notice that the two middle terms are like terms and can be combined (even though the variables are in a different order).

    36x^2z-6xyz-6y^2z

    Now, find your monomial factor of 6z and factor it out.

    6z(6x^2-xy-y^2)

    See if you can finish factoring the trinomial.
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