Factorisation and Algebraic Expresion

What does 'expansion of algebraic expressions' mean?

• Breaking expressions into parts

• Multiplying out brackets

• Combining like terms

• Simplifying terms

Expand (x + 3)(x + 2)

• x² + 5x + 6

• x² + 6x + 5

• x² + 2x + 6

• x² + 3x + 2

What is the expansion of (a - 2)(a + 4)?

• a² + 2a - 8

• a² - 2a + 4

• a² + 4a - 2

• a² + 2a - 8

Simplify (x + 2)(x - 3) + x²

• 2x² - x - 6

• 2x² - x + 6

• x² - x - 6

• x² + 2x - 3

Which of the following shows the correct expanded form of (2x - 1)(x + 3)?

• 2x² + 5x + 3

• 2x² + 6x - 1

• 2x² + 5x - 3

• 2x² + x - 3

Solve: (x + 4)(x - 5) = 0

• x = -4 or 5

• x = 4 or 5

• x = -5 or -4

• x = 5 only

Relate expansion and factorisation: (x + 2)(x + 3) = ?

• x² + 5x + 6

• x² + 6x + 5

• x² + 2x + 3

• x² + 3x + 2

Factorise: x² + 7x + 10

• (x + 5)(x + 2)

• (x + 3)(x + 4)

• (x - 2)(x - 5)

• (x + 1)(x + 10)

Factorise: x² - 9

• (x - 3)(x + 3)

• (x + 9)(x - 1)

• (x - 9)(x + 1)

• (x + 3)(x + 3)

Factorise: 2x² + 3x - 2

• (2x - 1)(x + 2)

• (2x + 1)(x - 2)

• (x + 2)(2x - 1)

• (2x + 1)(x + 2)