4.05 Do Now

Find the values that make the Rational Expression undefined:

 $\frac{x^2-6x+5}{x^2-25}$  

•  $x=5,-5$  

•  $x=5$  

•  $x=1$  

•  $x=-5$  

Solve by cross-multiplying

• x = 6
• x = -6
• x = 6/7
• x = -6/7

Identify the LCD.

• (x + 5)
• x²(x + 5)
• x
• x(x + 5)

Solve by using the LCD.

• x = 4/3
• x = 2
• x = 3/4
• x = 2/3

Simplify the expression below

 $\frac{6y\left(y+3\right)\left(y-5\right)}{y\left(y-5\right)\left(y-1\right)}$  

•  $\frac{6\left(y-5\right)}{y\left(y-1\right)}$  

•  $\frac{6\left(y+3\right)}{y-1}$  

•  $\frac{y\left(y-1\right)}{6\left(y+3\right)}$  

•  $\frac{6y\left(y+3\right)}{y\left(y-1\right)}$  

 Simplify
 $\frac{x^2\ -5x\ +\ 6}{x^2-4}\cdot\frac{\left(x\ +6\right)\left(x\ +\ 5\right)}{x^2+2x\ -15}$  

•  $\frac{\left(x\ -\ 3\right)\left(x\ -\ 2\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ +\ 5\right)\left(x\ -\ 3\right)}$  

•  $\frac{\left(x\ +\ 6\right)\left(x\ -\ 1\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ -5\right)\left(x\ -3\right)}$  

•  $\frac{1}{\left(x\ +\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)}{1}$  

•  $\frac{\left(x\ +\ 6\right)}{\left(x\ +\ 2\right)}$  

Select the next step in the process:
 $\frac{3\left(x-9\right)}{x^2-36}\div\frac{x-9}{x^2-x-30}$  

•  $\frac{x^2-36}{3\left(x-9\right)}\cdot\frac{x^2-x-30}{x-9}$  

•  $\frac{3\left(x-9\right)}{x^2-36}\cdot\frac{x^2-x-30}{x-9}$  

•  $\frac{3\left(x-9\right)\left(x-9\right)}{\left(x^2-36\right)\left(x^2-x-30\right)}$  

Solve for X:

• a   x=1/2
• b   x=10
• c   x=4
• d   x=12

Solve for x.

• -1
• 2
• 6
• No solution

Simplify the expression.

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