Multiply each term by a factor of that will equate all the denominators. In this case, all terms need a denominator of . The expression needs to be multiplied by to make the denominator . The expression needs to be multiplied by to make the denominator .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Multiply by .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Simplify.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Graph each side of the equation. The solution is the x-value of the point of intersection.

Solve for n 9/(n^2+1)=(n+3)/4