Factorising & Expanding Expressions and Quadratics

Q1: (3x - 2)(x - 4) in expanded and simplified form is:

• 3x² + 10x - 8

• 3x² - 14x + 8

• 3x² - 6x + 8

• 3x² + 14x - 8

• 3x² - 10x + 8

Q2: The highest common factor of 18x²yz and 24y²z is:

• 6yz

• 3xyz

• 3x^2y

• 4y^2z

• 6xy^2z

Q3: x² + 4x + 4 is the same as:

• (x + 2)

• (x - 2)(x + 2)

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x + 1)

• (x - 5)

• (x - 1)

• (x + 5)

• no common factor

5a: Expand and simplify each of the following.

(x + 6)(x - 3)

Mathematical Equivalence

ON

5b: Expand and simplify. (4x - 5)(2x + 1)

Mathematical Equivalence

ON

5c: Expand and simplify. (x + 6)(x - 6)

Mathematical Equivalence

ON

5d: Expand and simplify. (2x - 9)(2x + 9)

Mathematical Equivalence

ON

5e: Expand and simplify. (x + 8)²

Mathematical Equivalence

ON

5f: Expand and simplify. (3x - 4)²

Mathematical Equivalence

ON