SOLUTION: Homework help: I believe I got the correct answer, but wanted to be sure I was correct: Simplify: x cube+64/x square-16 / x square+3x-4/x square-5x+4 My answer is x squar

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Homework help: I believe I got the correct answer, but wanted to be sure I was correct: Simplify: x cube+64/x square-16 / x square+3x-4/x square-5x+4 My answer is x squar      Log On


   



Question 144976: Homework help:
I believe I got the correct answer, but wanted to be sure I was correct:
Simplify:
x cube+64/x square-16 / x square+3x-4/x square-5x+4
My answer is x square-4x+16/x+4
Subtract and Simplify:
5a square/a-b - 5b square+10ab/b-a
My answer is 5(a+b)square/a-b
Am I correct?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
x cube+64/x square-16 / x square+3x-4/x square-5x+4
My answer is x square-4x+16/x+4
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Your first answer is correct
Subtract and Simplify:
5a square/(a-b) - 5b square+10ab/(b-a)
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[5a^2/(a-b)] - [5b^2+10ab]/(b-a)

= [5a^2/(a-b)] + [5b^2+10ab]/(a-b)
= [5a^2+5b^2+10ab]/(a-b)
= [5(a+b)^2]/[a-b]
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Cheers,
Stan H.