rylynn86 rylynn86
  • 11-10-2018
  • Mathematics
contestada

What is the sum 4x+1/x+2 + x-1/3x

Respuesta :

gmany
gmany gmany
  • 11-10-2018

Answer:

[tex]\dfrac{4x+1}{x+2}+\dfrac{x-1}{3x}=\dfrac{13x^2+4x-2}{3x^2+6x}[/tex]

Step-by-step explanation:

[tex]Domain:\\x+2\neq0\ \wedge\ 3x\neq0\\\\x\neq-2\ \wedge\ x\neq0[/tex]

[tex]\dfrac{4x+1}{x+2}+\dfrac{x-1}{3x}=\dfrac{(4x+1)(3x)}{(x+2)(3x)}+\dfrac{(x-1)(x+2)}{(3x)(x+2)}\\\\=\dfrac{(4x)(3x)+(1)(3x)+(x)(x)+(x)(2)+(-1)(x)+(-1)(2)}{(3x)(x+2)}\\\\=\dfrac{12x^2+3x+x^2+2x-x-2}{(3x)(x)+(3x)(2)}\\\\=\dfrac{13x^2+4x-2}{3x^2+6x}[/tex]

Answer Link

Otras preguntas

a recipe calls for cookies for 3 1/4 cups of. sugar.amy already puts in 3 1/9 cups.how many more cups does she nees t put in
You have 10 apples in a basket. 10 children come to you and each one of them ask for an apple. You want to give all the apples to each one of them, but still ke
How much is this shaded Please help
A student rounded the size of a park to the nearest thousand acres. Her estimate was 276,000 acres. What number could be the exact number of acres? A 276,543
accurate estimation of 75-33
Where does friction occur? Can it happen in liquids, air, with solids?
In pure water, a red blood cell from an animal will swell and burst, but a leaf cell from a plant will not. Which structure in the leaf cell is responsible
What Countries Have limited and unlimited governments?
How do I solve 2 2/7 - 1 1/3
What is the value of this please help