Math

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Perform the indicated operations and reduce all results to lowest terms. Assume the variables are restricted to values that prevent division by 0.

(x^2-y^2)/(x^2-2xy+y^2) divided by (3x+3y)/(7x-21)

Could someone please show me how to do this so I can do the rest of my homework? I don't understand this at all. Thank You

  • Math -

    (x^2-y^2) = (x+y)(x-y)
    x^2-2xy+y^2 = (x-y)(x-y)
    so when you divide the first by the second you get
    (x+y)/x-y)

    Now work on the bottom
    (3x+3y) = 3(x+y)
    (7x-21)= 7(x-3)

    Now turn that upside down and multiply by the numerator
    7(x-3) /3(x+y) * (x+y)/(x-y)

    (7)(x-3)/3(x-y)

  • Math -

    -1(y+6)+3(y+1)+7y

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