Perform the addition or subtraction and simplify. u+1+\frac{u}{

goymdujf

goymdujf

Answered question

2021-11-16

Perform the addition or subtraction and simplify.
u+1+uu+1

Answer & Explanation

Walker Funk

Walker Funk

Beginner2021-11-17Added 13 answers

Step 1
We can simplify the expression u+1+uu+1 by taking LCM of the denominator of the expression , Converting the denominator of each term to the LCM value . Then we can easily add or subtract the fractional form of the terms.
Step 2
First we can write the expression u+1+uu+1 as u1+11+uu+1, then it will be easy to identify the LCM of the denominator.
Here we have the LCM of the denominator is u+1, we have to convert each denominators in the expression to u+1 by multiplying both numerator and denominator by suitable value.
Here we can multiply both numerator and denominator of first two fractions in the expression by u+1, in the third we already have it as denominator.
thus we get
u1×u+1u+1+11×u+1u+1+uu+1=u(u+1)+(u+1)+uu+1
=u2+u+u+1+uu+1
=u2+3u+1u+1
Hence we have the simplified for u2+3u+1u+1.

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