Solve for y 5/(y+3)+2/(y-3)=7/(y^2-9)

Math
Factor each term.
Tap for more steps…
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Find the LCD of the terms in the equation.
Tap for more steps…
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
The factor for is itself.
occurs time.
The factor for is itself.
occurs time.
The factor for is itself.
occurs time.
The factor for is itself.
occurs time.
The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.
Multiply each term by and simplify.
Tap for more steps…
Multiply each term in by in order to remove all the denominators from the equation.
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply by .
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply by .
Simplify by adding terms.
Tap for more steps…
Add and .
Add and .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Solve the equation.
Tap for more steps…
Move all terms not containing to the right side of the equation.
Tap for more steps…
Add to both sides of the equation.
Add and .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Solve for y 5/(y+3)+2/(y-3)=7/(y^2-9)

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top