Determine the constraints and add two rational expressions

The video tutorial explains the process of determining the least common denominator (LCD) when expressions have no common elements. It involves multiplying the expressions, using the FOIL method for distribution, and combining like terms to simplify the result. The instructor emphasizes understanding constraints and leaves the final answer in factored form for clarity.

What is the Least Common Denominator (LCD) when there are no common elements between expressions?

• The sum of the expressions

• The difference of the expressions

• The quotient of the expressions

• The product of the expressions

Which method is used to distribute terms when multiplying expressions?

• TOIL method

• MOIL method

• FOIL method

• SOIL method

Why might expressions be left unsimplified initially?

• To check the work and see where answers come from

• To make the expressions longer

• To make them look more complex

• To avoid using the FOIL method

What is the result of combining like terms in the expression: -6X^2 - X + 2X + 1 - 12?

• -6X^2 - 3X + 11

• -6X^2 + X - 11

• -6X^2 - X + 11

• -6X^2 + 3X - 11

How is the constraint X = -1/2 derived from the expression 2X + 1?

• By setting 2X + 1 equal to 1

• By setting 2X + 1 equal to -1

• By setting 2X + 1 equal to 2

• By setting 2X + 1 equal to 0