math check

posted by .

Simplify each rational expression.

3a(a-4)^2 over a^2(a-4) I don't understand how the answer would be 3(a-4) over a because the a-4 would cancel out???

4-y^2 over y^2-2y once I simplify I get (2-y)(2+y) over (y-2)(y+2) I don't understand how the answer is -(y+2) over y

9-r^2 over r^2-3 once I simplify i get (3-r)(3+r) over (r-3)(r+3) I don't understand how the answer is -(r+3) over r

  • math check -

    3a(a-4)^2 over a^2(a-4)

    3a(a-4)(a-4) over a*a*(a-4)
    You are correct that an (a-4) would cancel, but you are left with another one because the top had the power of two on it. In addition, 1 a would also cancel, leaving you with 3(a-4)/a

    4-y^2 over y^2-2y
    Rewrite the numerator in standard form
    -y^2+4 and then factor out a -1, leaving you with -1(y^2 - 4) which then factors into: -1(y+2)(y-2)
    Then the denominator factors into:
    y(y-2). As a result, the (y-2) factors cancel, leaving you with -1(y+2)/y

    9-r^2 over r^2-3
    (Is the denominator supposed to be r^2-3r?)
    Again, rewrite: -r^2+9 --> -1(r^2-9) --> then as -1(r+3)(r-3)
    Denominator: r(r-3)
    Cancel out the (r-3)'s and you are left with -(r+3)/r

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra 2

    would some one please check these for me 1. divide x^2-36y^2 over 5x^2+30y divide (x^2-6xy) A: x+6y over (5x)(x^2+6y) 2. Add. Express your answer in simplest form. 2x 0ver x^2+15x+54 + 4over x+6 A: 6 over x+9 3. solve: (9 over x-5) …
  2. Math

    Simplify each rational expression. Can you please show me the steps on how you got the answer. Thank you (over means there is a line under the first expression and then the second expression is placed underneath the line) 2c^2-c-1 …
  3. math

    How would you simplify this rational expression: Can you please show me the steps on how you get the answer thank you. 2y+1 over y-2 times (4-2y)
  4. math

    Peform each indicated operation by using LCD and simplify the result. Can you please show me the steps on how you got the answer because I don't understand how to these problems. Thank you. y+2 over y^2+2y+4 + 1 over y-2 z-3 over z^2+z-6 …
  5. math

    Simplify 1 over 2 of 1 over 4 devide 1 over 3 all over 1 over 6 minus 3 over 4 plus 1 over 2
  6. Math

    x^2 + 9x + 20 over x^2 -25 divided by x +4 over x - 4 How to do this really confusing i need to simplify the rational expression
  7. Math

    simplify! r^2s^5t^4 over (like a fraction) r^2s^2t^5 A. S^3 over t^2 B. S^3 over t C. S^2 over t^3 D. S over t ** a letter with -- ^ means to that power** thank you!
  8. algbra

    Simplify the expression (square root 100 over 49) a. 10 over 7 b. 17 c. 5 over 7*** d. 20 over 7 which sum will be irrational?
  9. algebra

    Simplify the expression (square root 100 over 49) a. 10 over 7 ** b. 17 c. 5 over 7*** d. 20 over 7 which sum will be irrational?
  10. algebra

    Simplify the expression (square root 100 over 49) a. 10 over 7 ** b. 17 c. 5 over 7*** d. 20 over 7 which sum will be irrational?

More Similar Questions