Algebra

1. Subtract and simplify
18/y-8 - 18/8-y
2. subtract simplify if possible
v-5/v - 7v-31/11v

3. Simplify by removing factors of 1
r^2-81/(r+9)^2

4. Divide and simplify
v^2-16/25v+100 divided by v-4/20

5. find all rational numbers for which the rational expression is undefined:
-18/7w

6. solve:
2/Z+4= 1/z-6

  1. 👍
  2. 👎
  3. 👁
  1. 1. 18 / (y - 8) - 18 / (8 - y),
    Multiply numerator and denominator of
    2nd fraction by -1 and get:

    18 / (y - 8) + 18 / (y - 8) =
    36 / (y - 8).

    2. (v - 5) / v - (7v - 31) / 11v,
    Common denominator = 11v:
    (11v - 55 -7v + 31) / 11v,
    Combine like-terms:
    (4v - 24) / 11v = 4(v - 6) / 11v.

    3. (r^2 - 81) / (r + 9)^2,
    Factor the numerator:
    (r + 9) (r - 9) / (r + 9)^2,
    Multiply numerator and denomjnator by
    (r + 9)^2 and get:

    (r + 9)^-1 (r - 9) / 1,
    Multiply numerator and denominator by
    (r + 9)^1:

    (r - 9) / (r + 9).

    4. (v^2 - (16/25)v + 100) / (v - 4)/20
    Multiply numerator and denominator by 25 and get:
    (V^2 - 16V + 100) / 5(V - 4) / 4,

    Multiply numerator and denominqator by
    4/5 and get:
    4/5(v^2 - 16v + 100) / (v - 4).

    6. 2 / (z + 4) = 1 / (z - 6),
    Cross multiply:
    2z - 12 = z + 4,
    2z - z = 4 + 12,
    z = 16.

    1. 👍
    2. 👎
  2. _4y_____ _ ___3y________
    y^2+6y+5 y^2+5y+4

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    1. Add or subtract. (4x^2 + 15x -3) - (-3x^2 + 5) A. 7x^2 + 15x - 8 B. x^2 + 12x + 2 C. x^2 + 15x - 8 D. 7x^2 + 8 2. Simplify the polynomial. -3f^2 + 4f - 3 + 8f^2 + 7f + 1 A. 5x^2 - 4x - 2 B. -5x^2 + 8x - 2 C. 5x^2 - 8x + 2 D.

  2. math

    Match the equation with the step needed to solve it. 1. 2m - 1 = 3m subtract m 2. 2m = 1 + m subtract 2 3. m - 1 = 2 subtract 1 4. 2 + m = 3 subtract 2m 5. -2 + m = 1 add 2 6. 3 = 1 + m add 1

  3. algebra

    For questions 1-3, simplify the polynomial. 1. 14x^2 + 4 + 3x - 12x^2 - 3 + 11x 2. 3x^2 + 6 - 2x + 5x - 4x^2 + 9 3. 2x^2 + 6x - 7x + 8 - 3x^2 + 1 4. In the expression -7x - 3x^2 + 5, what is the coefficient of x? Add or subtract.

  4. Math(Please help)

    Simplify each expression. Assume all variables are positive. 1) 3 sqrt2 - 8 sqrt128 I think you subtract the 3 from the 8 but I do not know what else to do. 2) Simplify expression. Answer should have only positive exponents. (8x^3

  1. MATH!

    Add and subtract as indicated. Then simplify your answer if possible. Leave your answer in terms of sin(θ) and/or cos(θ). sinθ+ 1/cosθ

  2. algerbra

    translate the phrase into a mathematical expression and then simplify. nine times a number subtract twice the same number

  3. math

    1. add or subtract {4x^2+15x-3}-(3x^2+5) a.7x^2+15x-8** b.x^2+12x+2 c.x^2+15x-8 d.7x^2+8 2. Simplify the polynomial -3f^2+4f-3+8f^2+7f+1 a.5f^2-11f+2 b.11f^2+11f+2** c.5f^2+11f-2 d.-5f^2+11-2 3. Add or subtract

  4. math

    Subtract simplify by collecting like radical terms 2square root symbol 50 -2 squareroot symbol 2.

  1. algebra

    3p-2 p-3 __________ - _______ p^2+2p-24 P^2-16 subtract & simplify

  2. Algebra 1a

    I want to know if I have this right translate the phrase into mathematical expression and then simplify six times a number subtract thrice the same number. 6n-3n 6x-3x

  3. Math 8R - Help!!!!!!!!!!!!!!!!!!!

    14. Subtract -5 from -14 -14 - (-5) 16. Subtract -6 from 18 18 - (-6) 18. From 14 subtract -2 22. Subtract 17 from 8 I already know how to solve this just have trouble formatting it. How do I do it for number 18 and 22???? Please

  4. Math (Check

    Subtract and Simplify 2/3 - 1/5 = 1/2

You can view more similar questions or ask a new question.