11.1 Homework Problems: Introduction to Rational Expressions
1. Find the LCM of the following sets
a. {16y5w7u6 , 3y4w3}
b. {3w3x8 , 2y4w5x2}
2. State any restrictions on the following (x ≠ ?)
a. [latex]\frac{5}{3x-1}[/latex]
b. [latex]\frac{x^2-4}{x^2-5x-6}[/latex]
3. Reduce to the lowest terms and state any restrictions
a. [latex]\frac{9x^2y^3}{12xy^4}[/latex]
b. [latex]\frac{9\ -\ 3x}{4x\ -\ 12}[/latex]
c. [latex]\frac{xy\ -\ 3y\ +\ 2x\ -\ 6}{y^2\ -\ 4\ }[/latex]
d. [latex]\frac{6x^2+\ 4x}{3xy\ +\ 2y}[/latex]
e. [latex]\frac{2x-10}{3x-15}[/latex]
f. [latex]\frac{x^3-64}{x^2-16}[/latex]
g. [latex]\frac{7(3y+4)(y+4)}{35(y-3)(3y+4)}[/latex]
h. [latex]\frac{14\left(x-4\right)^5{(2x-7)}^2}{21\left(2x-7\right)^4{(x-4)}^3}[/latex]
i. [latex]\frac{x^2+12x+36}{x+6}[/latex]