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How to simplify this expression ?

How to simplify this expression ?-example-1

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Answer:


\large \boxed{\sf \ \ (1)/(x^2)+(1)/(x^2+x)=(2x+1)/(x^2(x+1)) \ \ }

Explanation:

Hello,

This is the same method as computing for instance:


(1)/(2)+(1)/(3)=(3+2)/(2*3)=(5)/(6)

We need to find the same denominator.

Let's do it !

For any x real different from 0, we can write:


(1)/(x^2)+(1)/(x^2+x)=(1)/(x^2)+(1)/(x(x+1))\\\\=(x+1+x)/(x^2(x+1))=(2x+1)/(x^2(x+1))

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

User Hasmukh
by
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