Addition and subtraction and use fundamental identities

The video tutorial covers adding fractions with unlike denominators, simplifying binomials using conjugates, working with radicals, and simplifying trigonometric expressions using identities. It provides step-by-step explanations and examples to help understand these mathematical concepts.

What is the first step in adding fractions with different denominators?

• Multiply the fractions

• Find a common denominator

• Subtract the denominators

• Add the numerators directly

How do you eliminate a square root from the denominator of a fraction?

• Add a square root to the numerator

• Multiply by the same square root

• Multiply by the conjugate

• Divide by the square root

What is the result of multiplying a binomial by its conjugate?

• A difference of squares

• A sum of squares

• A quotient of squares

• A product of squares

What is the purpose of using conjugates in trigonometric expressions?

• To simplify the expression

• To change the variable

• To increase the degree

• To add more terms

Which identity is used to simplify secant squared minus one?

• Tangent squared plus one

• One plus tangent squared

• Sine squared plus cosine squared

• Cosine squared minus sine squared

What happens to the secant terms when simplifying the expression in the last section?

• They add up

• They multiply

• They cancel out

• They remain unchanged

How can the expression -2 over tangent squared be rewritten?

• -2 times cotangent squared

• -2 plus cotangent squared

• -2 divided by cotangent squared

• -2 minus cotangent squared