How to simplify a rational expressions

What is the first step in simplifying the given algebraic expression?

• Add terms in the numerator

• Factor out common terms from the numerator and denominator

• Multiply the numerator and denominator

• Directly cancel out terms

What is the result of factoring the expression X^2 - 9?

• (X + 2)(X - 2)

• (X + 1)(X - 1)

• (X + 9)(X - 9)

• (X + 3)(X - 3)

Which of the following is a correct factorization of y^2 + y - 12?

• (y + 6)(y - 2)

• (y + 4)(y - 3)

• (y + 3)(y - 4)

• (y + 2)(y - 6)

What mistake did the teacher correct in the final section?

• Incorrectly factoring X^2 - 9

• Misidentifying a term as y^2 instead of y^3

• Adding terms instead of multiplying

• Using the wrong common factor

What is the final simplified form of the expression?

• y * (y - 4) / (12y - 3)

• y * (y + 3) / (12y + 4)

• y * (y - 3) / (12y - 4)

• y * (y + 4) / (12y + 3)