Year 9 - Binomial Expansion

(x + 1)(x + 2) expands to

• x² + 2x + 2

• x² + 3x + 2

• x² + 3x + 3

• x² + 2x + 3

(x + 3)(x - 5) expands to:

• x² + 8x + 15

• x² + 2x - 15

• x² - 2x - 15

• x² - 2x + 15

(x - 6)(x - 7) expands to:

• x² - 13x + 42

• x² - 13x - 13

• x² + 13x + 42

• x² + x + 13

(2x + 1)(3x + 2) expands to:

• 6x² + 7x + 2

• 6x² + 4x + 2

• x² + 7x + 2

• 6x² + 7x + 3

(x + 2)(x + ?) = x² + 8x + 12. The ? is:

• 6

• 8

• 4

• 5

(x - 3)² expands to:

• x² - 6x + 9

• x² + 6x + 9

• x² - 6x - 9

• x² - 6x - 6

(2x + 1)² expands to:

• 4x² + 4x + 1

• 4x² + 2x + 1

• 4x² + 4x + 2

• 2x² + 2x + 1

• 2x² + 4x + 1

Expand (x - 1)(x + 1).

• x² - 1

• x² - 2

• x² - 2x + 1

• x² + 2x - 1

Expand (2x - 9)(2x + 9)

• 4x² - 81

• 4x² - 18

• 2x² - 81

• 2x² - 18

Expand (3x - 2y)(3x + 2y)

• 9x² - 4y²

• 3x² - 4y²

• 3x² - 2y²

• 9x - 2y