Algebraic Simplification: Cancelling and Factorization

The video tutorial focuses on algebraic techniques of canceling and factorization. It begins with simple fraction canceling by addressing numbers and variables separately, applying the laws of indices. The tutorial progresses to more complex fractions, emphasizing the importance of identifying common factors without expanding brackets. It also covers factorizing by grouping, demonstrating how to simplify expressions by identifying common terms. The tutorial concludes with practical examples and encourages students to apply these methods in their assessments.

What is the first step in simplifying algebraic fractions?

• Expand the brackets

• Deal with the variables first

• Apply the laws of indices

• Tackle the numbers first

When simplifying complex fractions with double brackets, what should you avoid doing?

• Simplify the numbers

• Expand the brackets

• Cancel common factors

• Apply the laws of indices

In the expression 18X(X + 2) / 24X^2(X + 2), what is the simplified form after canceling common factors?

• 18/24

• X/4

• 3/4X

• 3/4

What is the result of factorizing X^2 - X - 6 using the sum and product rule?

• (X - 2)(X - 3)

• (X + 2)(X - 3)

• (X + 3)(X - 2)

• (X + 2)(X + 3)

Which of the following is a common factor in the expression X^2 + X - 12?

• X - 2

• X + 2

• X - 3

• X + 4

In factorizing by grouping, what is the common factor in the expression 2AC + 2AD - 2BC - 2BD?

• 2A + B

• 2C + D

• A - B

• C - D

What is the simplified form of the expression 3X^2 - 2X + 12X - 8 after factorization?

• (3X - 4)(X + 2)

• (3X + 2)(X - 4)

• (3X + 4)(X - 2)

• (3X - 2)(X + 4)