Perfom the indicated operation and simplify?

I'm trying to multiply rational expressions with two variables and I'm getting confused. I know I need to factor, but my mind just hates variables. Anyways, the problem is:

x2+xy-2y^2 over 4y * x+2y over 12y^2. Please show all steps. Thank you!

2 Answers

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  • Steven
    Lv 7
    8 years ago
    Favorite Answer

    x2+xy-2y^2 over 4y * x+2y over 12y^2.

    (x2+xy-2y^2)/4y * (x+2y)/12y^2.

    multiply the numerators

    (x2+xy-2y^2)*(x+2y)

    distribute

    x(x2+xy-2y^2)+2y(x2+xy-2y^2)

    (x^3+x^2y-2xy^2)+(2x^2y+2xy^2-4y^3)

    (x^3+3x^2y+2xy^2-2xy^2-4y^3)

    (x^3+3x^2y-4y^3)

    the numerators

    4y(12y^2)

    48y^3

    all together

    (x^3+3x^2y-4y^3)/48y^3

  • 8 years ago

    I charge $100 to do people's homework for them. 10s or 20s please?

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