Question

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 ?

Answer 1

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Answer 2

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

Explanation:

we have

`(x+9)/(x+1) +(x-2)/(5)`

Find the LCD

LCD=5(x+1)

`(5(x+9)+(x+1)(x-2))/(5(x+1))`

`(5x+45+x^2-2x+x-2)/(5(x+1))`

`(5x+45+x^2-x-2)/(5(x+1))`

`(x^2+4x+43)/(5(x+1))`

therefore

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