# Rational expressions

See attached document.

Section 6.1

#18 Which numbers cannot be used in place of the variable in the rational expression?

(2y+1)/(y2-y-6)

#102 Simplify

(-2x-8)/(x2+2x-8)

Section 6.2

#24 Simplify

(3/a2+a)(2a+2/6)

#76 Simplify

((w2-1/(w-1)2)/((w-1)/(w2+2w+1))

Section 6.3

#20 Build the rational expression into an equivalent rational expression with the indicated denominator.

-7yt/3x = ?/18xyt

#66 Find the LCD and convert the rational expression into an equivalent rational expression with the LCD as the denominator.

4/(a-5) , 5x/(2y-2x)

Section 6.4

#8 Simplify

4/9 - 1/9

#62 Simplify

(2/(x-3)) + (3/(3-x))

Section 6.5

#52 Simplify

((1/9)+(1/3x))/((x/9)-(1/x))

#58 Simplify

4ab5/((a+b)/(6a2b4))

Section 6.6

#30 Solve the equation

x/3 = 4/(x+1)

#50 Solve the equation

-3/x = x/-3.

https://brainmass.com/math/basic-algebra/equations-simplifying-least-common-denominator-238980

#### Solution Summary

This provides examples of working with rational expressions, including solving equations, simplifying, and least common denominator.