Math

Combine the following rational expressions
1/2y-5-30/8y^3-125
Lcm:(2y-5)(4y^2+10y+125)
=1*4y^2+10y+25/(2y-5)(4y^2+10y+25)-30/(2y-5)(4y^2+10y+25)
=4y^2-10y+25-30/(2y-5)(4y^2+10y+25)
=(4y^2+10y-5)/(2y-5)(4y^2+10y+25) Please correct my answer and I know it is wrong please explain the steps completely.

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asked by Keonn'a
  1. 1/(2y-5) - 30/(8y^3-125)
    1/(2y-5) - 30/((2y)^3 - 5^3)
    1/(2y-5) - 30/((2y-5)(4y^2+10y+25))
    The LCM is just (8y^3-125), so that gives

    ((4y^2+10y+25)-30)/(8y^3-125) = (4y^2+10y-5)/(8y^3-125)

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    posted by Steve
  2. actually, your answer is correct, despite the typo

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    posted by Steve

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