Solving a rational expression by multiplying the LCD on both sides of the equation

The video tutorial covers solving equations by identifying the least common denominator (LCD), eliminating fractions, applying the distributive property, and using the FOIL method. It explains how to combine like terms and factor quadratic equations to find solutions. The tutorial emphasizes checking constraints to ensure valid solutions.

What is the first step in solving an equation with fractions?

• Add the fractions together

• Subtract the denominators

• Identify the Least Common Denominator

• Multiply the numerators

Which method can be used to expand expressions besides the distributive property?

• Cross-multiplication

• Box method

• Completing the square

• Partial fraction decomposition

What is the purpose of combining like terms in an equation?

• To factor the equation

• To find the LCD

• To eliminate variables

• To simplify the equation

What is the zero product property used for?

• To find the LCD

• To solve quadratic equations

• To expand expressions

• To combine like terms

Why is it important to check constraints when solving equations?

• To simplify the equation

• To ensure the solution is within the domain

• To find the LCD

• To apply the distributive property