Rational functions

Simplify the expression

• (12n² + 28n + 4) / (2n-5)(n+2)
• (12n² - 28n + 4) / (2n-5)(n+2)
• (8n) / (3n + 3)
• (12n² + 2n -3) / (2n-5)(n+2)

Tags

CCSS.HSA.APR.D.7

 $\frac{\left(x-3\right)}{x^2+3x-4}+\frac{2x}{x+4}$  

•  $\frac{\left(2x^2-x-3\right)}{\left(x+4\right)\left(x-1\right)}$  

•  $\frac{\left(2x^2-3x-3\right)}{\left(x+4\right)\left(x-1\right)}$  

•  $\frac{\left(3x-3\right)}{\left(x+4\right)\left(x-1\right)}$  

•  $\frac{\left(3x^2-x-3\right)}{\left(x+4\right)^2\left(x-1\right)}$  

Tags

CCSS.HSA.APR.D.7

Add

 $\frac{3x-2}{x+2}+\frac{2x}{4x-1}$  

•  $\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}$  

•  $\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)}\$  

•  $\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\$  

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• 6x / 20xy
• 3 / 10y
• (6x+1) / (20xy)
• 3 / 20xy

Tags

CCSS.HSA.APR.D.7

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Tags

CCSS.HSA.APR.D.7

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Tags

CCSS.HSA.APR.D.7

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Tags

CCSS.7.NS.A.1C

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Tags

TEKS.MATH.2A.7F

TEKS.MATH.9-12.II.B.1

Subtract

 $\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}$  

•  $\frac{x^2-2x-8}{2x+7}\ ,\ x\ne-\frac{7}{2}$ 

•  $x^2-2x-8\ ,\ x\ne0$  

•  $x^2-2x+2\ ,\ x\ne0$  

•  $\frac{x^2-2x+2}{2x+7}\ ,\ \ x\ne-\frac{7}{2}$  

Tags

CCSS.HSA.APR.D.7

Add

 $\frac{2x}{x^2-36}+\frac{x+4}{x+6}$  

•  $\frac{x^2-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6$  

•  $\frac{x^3+6x^2-24x}{\left(x^2-36\right)\left(x+6\right)}\ x\ne-6,\ 36$  

•  $\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6$  

•  $\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6$  

Tags

CCSS.HSA.APR.D.7