Move to the left side of the equation by subtracting it from both sides.

Simplify the denominator.

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Simplify the numerator.

Apply the distributive property.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply by .

Subtract from .

Add and .

Combine the numerators over the common denominator.

Simplify the numerator.

Subtract from .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Reduce the expression by cancelling the common factors.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Apply the distributive property.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply by .

Subtract from .

Add and .

Combine the numerators over the common denominator.

Subtract from .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Since , there are no solutions.

No solution

Solve by Factoring x/(x-1)-1/(x+1)=2/(x^2-1)