Simplify $\frac{1}{y^2-y}+\frac{2y+1}{y^2-1}+\frac{y}{y+1}$

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$\frac{2y+1+y^2+y^{3}}{y\left(y^2-1\right)}$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Factor by completing the square
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Find the roots
  • Find break even points
  • Load more...
Can't find a method? Tell us so we can add it.
1

Factor the polynomial $y^2-y$ by it's greatest common factor (GCF): $y$

$y\left(y-1\right)$

Learn how to solve combining like terms problems step by step online.

$y\left(y-1\right)$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve combining like terms problems step by step online. Simplify 1/(y^2-y)+(2y+1)/(y^2-1)y/(y+1). Factor the polynomial y^2-y by it's greatest common factor (GCF): y. Factor the difference of squares y^2-1 as the product of two conjugated binomials. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete.

Final answer to the problem

$\frac{2y+1+y^2+y^{3}}{y\left(y^2-1\right)}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Help us improve with your feedback!

Function Plot

Plotting: $\frac{2y+1+y^2+y^{3}}{y\left(y^2-1\right)}$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Combining like terms

Algebraic expressions can be simplified by combining like terms.

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account