Algebra

posted by .

A few questions on simplifying rational expressions...

1). 15x^2/10x this simplifies to 3x^2/2 according to my book. But I would think it should be 3/2x since x^2-x=x. Why not?

2). Simplify 3xy/xy+x. How come the (xy)'s don't cancel so you are left with 3/x?

3). Can you break it down, step by step how (4y-8y^2)/(10y-5) becomes -4y/5?

Thank you!

  • Algebra -

    1. You need to divide both numerator and denominator by the same term, in this case, 5x.

    x^2-x = x(x-1) ≠ x

    2. You need to divide both by the same term.
    (xy+x)/xy = 1 + 1/y

    3. Sorry, but I have to leave now.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. bobpursly,

    Is this correct now after i revised it Multiply. 3xy^2(5xy-4x+6y) 3xy^2(5xy)=15x^2y^3 3xy^2(-4x)=-12x^2y^2 3xy^2(6y)=18xy^3 so i get from this 15x^2y^3-12x^2y^2+18xy^3 correct awsome i just thought that the 15x^2y^3-12x^2y^2 should …
  2. Algebra

    I just need help with the number game part. I can't think of any kinds of games to come up with?
  3. Algebra

    Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you?
  4. math

    •Post a response to the following: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer?
  5. algebra

    Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you?
  6. Algebra-Please check my answers

    Posted by Jessie on Monday, October 18, 2010 at 3:48pm. I think I figured it out-please check I'm really stuck on these problems- Simplify 6xy(3xy)^-2?
  7. Algebra-Please check my answers

    Posted by Jessie on Monday, October 18, 2010 at 3:48pm. I think I figured it out-please check I'm really stuck on these problems- Simplify 6xy(3xy)^-2?
  8. Algebra 2

    Combine The Rational Expressions and Simplify (3x-7)/(x^2-12x+27)-(3x-8)/(x^2-9x+18)+(x+2)/(x^2-15x+54)
  9. algebra 1

    Simplify the rational expressions,if possible.State the excluded values,if any. 1.5x-5/10x^2-25x+15 2.w^2+6w+9/2w^2-18
  10. Math!

    1) What is the value of 19 + 5a^4 + 3b^2 when a = 2 and b = -4?

More Similar Questions