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

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

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 by .

Combine the numerators over the common denominator.

Subtract from .

Move the negative in front of the fraction.

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

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Subtract from .

Move the negative in front of the fraction.

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

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Combine the numerators over the common denominator.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .

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.

has factors of and .

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.

Multiply by .

The factors for are , which is multiplied by each other times.

occurs times.

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.

Multiply by .

The LCM for is the numeric part multiplied by the variable part.

Multiply each term in by in order to remove all the denominators from the equation.

Simplify .

Rewrite using the commutative property of multiplication.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply .

Multiply by .

Multiply by .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Solve by Factoring 1/(6k^2)=1/(3k^2)-1/k