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What is the simplified form of the quantity of x plus 9, all over the quantity of x plus 1 + the quantity of x minus 2, all over 5 ?

Respuesta :

Answer:

the quantity of x squared plus 4x plus 43, all over 5 times the quantity of x plus 1

Step-by-step explanation:

we have

  [tex]\frac{x+9}{x+1} +\frac{x-2}{5}[/tex]

Find the LCD

LCD=5(x+1)

[tex]\frac{5(x+9)+(x+1)(x-2)}{5(x+1)}[/tex]

[tex]\frac{5x+45+x^2-2x+x-2}{5(x+1)}[/tex]

[tex]\frac{5x+45+x^2-x-2}{5(x+1)}[/tex]

[tex]\frac{x^2+4x+43}{5(x+1)}[/tex]

therefore

the quantity of x squared plus 4x plus 43, all over 5 times the quantity of x plus 1

Answer:

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