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Operations with rational expressions

Please help with the following rational expressions and to simplify.

Find each function value
2) f(y) = y - 2 / -5 + y; f(-5), f(0), f(10)

6) g(x) 4 -3x / 2

10) f(x) = -4x/-2 + x

14) h(x) = 5 -3x / 2x^2 - 14x + 20

18) Explain how to simplify a rational expression or to write in it lowest terms?
Simplify each rational expression
22) 9 - x / 5x - 45

26) x^2 - 4 / 2x + 8x + 8

30) 3x^2 - 5x - 2 / 6x^3 + 2x^2 + 3x + 1

34) x^2 - 8x + 16 / 4 -x
38) 9x^2 - 15x + 25 / 27x^3 + 125
42) - 2xyz^3 x 10xy (multiply)
5x^2z^2 x^3

46) 3ab^2 x a - 2 (multiply)
a^2 - 4 6a^2b^2

50) x^2 - 1 multiply 12x + 36
10x + 30 3x - 3

54) 4a + 36 divide a^2 - a - 6
a^2 - 7a - 18 a^2 - 81

58) 4x + 4 divide x^2 - 4x - 5
x - 1 x^2 - 1

2) 4/x^2 + 2/x^2 (add)

6) 4/ x - 2 - x^2 / x - 2 (subtract)

10) Find the perimeter of the quadrilateral
5/ x - 1 cm, 3x/x -1 cm, x^2 - 8/x - 1cm, x^2 - 2x, x - 1cm

Find the LCD of the rational expressions in each list

14) 5/2x, 7 / 2 + x

18) 2 / 3a + 9, 5 / 5a - 15

22) 2a/a^2 + 8a + 16, 7a/a^2 + a - 12

26) When is the LCD of two rational expressions with different denominators equal to one of the denominators.

30) 4/11x^4y minus 1/4x^2y^3

34) x + 1/x^2 - x - 20 minus 2/x + 4

38) 5/1 -x minus 1/x - 1

42) x + 2/x^2 - 36 minus x/x^2 + 9x + 18

46) a/a^2 + 10a +25 plus 4/a^2 + 6a +5

50) x + 2/x^2 - 2x - 3 plus x/x-3 minus 4/x + 1

54) x + 4/4x minus x - 4/4x

58) -3/2a + 8 minus 8/a^2 + 4a

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Solution Preview

pls see attached, and please add the parenthesis in the further to avoid ...

Solution Summary

This provides several examples of working with rational expressions, including addition, subtraction, domain, simplification, multiplication, and division.

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