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Math Help - simplify check #2

  1. #1
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    simplify check #2

     <br />
\frac {x^4+x^2y^2+y^4}{x^3-y^3} \div \frac{x^2-xy+y^2}{x-y}<br />

     <br />
\frac {x^4+x^2y^2+y^4}{(x-y)(x^2+xy+y^2)} \cdot \frac{x-y}{x^2-xy+y^2}<br />

     <br />
\frac {x^2+xy+y^2}{x^2+xy+y^2}<br />

     <br />
= 1<br />

    this correcT?
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  2. #2
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    Quote Originally Posted by jvignacio View Post
     <br />
\frac {x^4+x^2y^2+y^4}{x^3-y^3} \div \frac{x^2-xy+y^2}{x-y}<br />

     <br />
\frac {x^4+x^2y^2+y^4}{(x-y)(x^2+xy+y^2)} \cdot \frac{x-y}{x^2-xy+y^2}<br />

     <br />
\frac {x^2+xy+y^2}{x^2+xy+y^2}<br />

     <br />
= 1<br />

    this correcT?
    Yes, but again it would help if you provided more of your working (like the link between the second and third lines)

    CB
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  3. #3
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    Quote Originally Posted by CaptainBlack View Post
    Yes, but again it would help if you provided more of your working (like the link between the second and third lines)

    CB
    that link is just cancelling out terms
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by jvignacio View Post
    that link is just cancelling out terms
    Except it requires that you know how x^4+x^2y^2+y^4 factorises.

    CB
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  5. #5
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    Quote Originally Posted by jvignacio View Post
    that link is just cancelling out terms
    There's a very good reason why CaptainB is asking to see your working .....

    Teacher: Simplify 16/64.
    Student: 1/4.
    Teacher: Correct. How did you do that?
    Student: I just cancelled numbers
    Teacher: Mind showing me.
    Student: *Grumble* OK ....... \frac{1 \not{6}}{\not{6}4} = \frac{1}{4}. We cool now ....?


    Do you see the moral of the story?
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  6. #6
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    Quote Originally Posted by mr fantastic View Post
    There's a very good reason why CaptainB is asking to see your working .....

    Teacher: Simplify 16/64.
    Student: 1/4.
    Teacher: Correct. How did you do that?
    Student: I just cancelled numbers
    Teacher: Mind showing me.
    Student: *Grumble* OK ....... \frac{1 \not{6}}{\not{6}4} = \frac{1}{4}. We cool now ....?


    Do you see the moral of the story?
    Yea i see it. guess i wasnt suppose to cancel out that way but it worked anyway?
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