LCD for Rational Expressions

What is the LCD?           $\frac{7}{\left(x+1\right)}+\frac{2x}{\left(x-1\right)}$ 

• (x-1)

• (x-2)(x+2)

• (x+1)(x-1)

• (x+1)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?  $\frac{x^2}{\left(x+3\right)}+\frac{\left(x-3\right)}{2x}$  

•  $\left(x+3\right)$  

•  $x^2\left(x+3\right)$  

•  $2x\left(x+3\right)$  

•  $\left(x+3\right)\left(x-3\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?           $\frac{\left(x^2+1\right)}{3\left(x-1\right)}+\frac{3}{\left(2x-7\right)}$  

•  $\left(x-1\right)\left(2x-7\right)$  (x-1)(2x-7)

•  $3\left(2x-7\right)$  3(2x-7)

•  $3\left(x^2+1\right)$  

•  $3\left(x-1\right)\left(2x-7\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?            $\frac{\left(x^2+4x+4\right)}{x^2-4}-\frac{2}{\left(x+2\right)}$  

•  $\left(x+2\right)\left(x-2\right)$  

•  $\left(x+2\right)$  

•  $\left(x-2\right)$  

•  $\left(x^2-4\right)\left(x+2\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?  $\frac{x}{x^2-9}-\frac{1}{x+3}+\frac{2x}{x-3}$  

•  $x\left(x+3\right)\left(x-3\right)$  

•  $\left(x+3\right)\left(x^2-9\right)\left(x-3\right)$  

•  $\left(x-3\right)\left(x^2-9\right)$  

•  $\left(x+3\right)\left(x-3\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?  $-\frac{3\left(x+4\right)}{3x^2}+\frac{\left(x-4\right)}{\left(x+4\right)}$  

•  $\left(x+4\right)\left(x-4\right)$  

•  $3\left(x-4\right)$  

•  $3x^2$  

•  $3x^2\left(x+4\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

What is the LCD?  $\frac{\left(2x-1\right)}{x^2-3x}-\frac{5}{x^2-4x+3}$  

•  $\left(x-3\right)\left(x-1\right)$  

•  $x\left(x-3\right)\left(x-1\right)$  

•  $\left(2x-1\right)\left(x-3\right)$  

•  $x\left(2x-1\right)\left(x-1\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?     $\frac{x-3}{x^2-2x-3}-\frac{5}{x^2-9}$  

•  $\left(x-3\right)\left(x+1\right)_{ }$  

•  $\left(x-3\right)\left(x+3\right)$  

•  $\left(x-3\right)\left(x+1\right)\left(x+3\right)$  

•  $\left(x+1\right)\left(x+3\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?  $\frac{\left(x-5\right)}{x^2-7x+12}+\frac{\left(x+3\right)}{x^2+2x-15}$  

•  $\left(x-3\right)\left(x-4\right)$  

•  $\left(x-3\right)\left(x-4\right)\left(x+5\right)$  

•  $\left(x+5\right)\left(x-3\right)$  

•  $\left(x-3\right)\left(x-4\right)\left(x-5\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the LCD?  $\frac{\left(x-7\right)}{x^2-9}+\frac{\left(x^2-25\right)}{x+9}$  

•  $\left(x-3\right)\left(x+3\right)\left(x+9\right)$  

•  $\left(x-7\right)\left(x^2-9\right)$  

•  $\left(x-9\right)\left(x+9\right)$  

•  $\left(x-5\right)\left(x+5\right)\left(x+9\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7