Combining two rational complex equations

The video tutorial explains how to simplify complex rational expressions by ensuring the denominators are the same. It involves multiplying by the conjugate to form a difference of squares, using the FOIL method, and applying the distributive property. The final expression is written in standard complex form, a + bi.

What is the first step in combining two rational complex fractions?

• Subtract the denominators

• Multiply the numerators

• Find the least common multiple of the denominators

• Add the numerators

Why do we multiply by the conjugate when simplifying complex fractions?

• To simplify the numerator

• To add the fractions

• To eliminate the imaginary part

• To create a difference of two squares

What happens to the middle terms when multiplying conjugates?

• They remain unchanged

• They become imaginary

• They cancel out

• They double

How do you rewrite the expression in complex form?

• By dividing each term by the denominator

• By multiplying the terms

• By adding the real and imaginary parts

• By subtracting the imaginary part

What is the final form of a complex number?

• a + bi

• a / bi

• a * bi

• a - bi