Factorization and Exponents Review

This video tutorial teaches factorization of algebraic expressions using identity 2, which is (a-b)² = a² - 2ab + b². The lesson revises the identity, explains its reverse form, and demonstrates its application through two examples: factorizing p² - 14p + 49 and 121m² - 88mn + 16n². The tutorial emphasizes recognizing perfect squares and using the commutative law to rearrange terms for factorization. The lesson concludes with a summary of the key points covered.

What is the main topic of this lesson?

• Solving inequalities

• Graphing linear equations

• Factorization using identity 2

• Solving quadratic equations

Which identity is being revised in this lesson?

• (a + b)^2 = a^2 + 2ab + b^2

• (a - b)^2 = a^2 - 2ab + b^2

• (a + b)(a - b) = a^2 - b^2

• a^2 + b^2 = (a + b)^2 - 2ab

What is the result of (a - b)^2?

• a^2 + b^2

• a^2 - b^2

• a^2 - 2ab + b^2

• a^2 + 2ab + b^2

How is identity 2 useful in factorization?

• It helps in expanding expressions.

• It is used to solve linear equations.

• It simplifies the process of finding roots.

• It allows rewriting expressions as products of factors.

What is the first step in using identity 2 for factorization?

• Graph the expression.

• Solve for x.

• Check if the expression can be written as squares.

• Identify the coefficients.

In the expression p^2 - 14p + 49, what is the value of b?

• 14

• 7

• 49

• p

What is the factorized form of p^2 - 14p + 49?

• (p - 7)^2

• (p - 7)(p + 7)

• (p + 7)^2

• (p - 14)(p + 14)

What is the expanded form of (p - 7)^2?

• p^2 + 49

• p^2 + 14p + 49

• p^2 - 14p + 49

• p^2 - 49

What is the value of 7 squared?

• 49

• 14

• 21

• 28

In the expression 121m^2 - 88mn + 16n^2, what is the value of a?

• 11m

• 88mn

• 121m

• 16n