How do you simplify #1/x + 1/x^2#?

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Answer 1 · 2018-07-28T01:28:24

#{x+1}/x^2#

Given that

#1/x+1/x^2#

#={x\cdot 1+1\cdot 1}/x^2#

#={x+1}/x^2#

Answer 2 · 2018-07-28T01:43:10

#" "#
#color(red)(1/x+1/(x^2)= (x+1)/x^2#

#" "#
How do we simplify ?

#color(red)(1/x+1/(x^2)#

Take the common denominator to simplify.

Common denominator is #x^2#

Consider the first fraction : #1/x#

If you multiply the denominator by #x#, you will get #x^2#

Multiply the numerator also by #x#, so that the value of the fraction remains the same.

We get,

#(x/(x^2)+1/(x^2))#

#rArr (x+1)/x^2#

Hope it helps.