Expanding and Factorizing

Expand and Simplify
-4(2h + 3)

• -8h - 12
• -8h - 3
• -8h + 3
• -8h +12

Use the distributive property to simplify the expressions below:

-2(6n + 3)

• -12n + 3

• -12n - 6

• -12n - 2

• -12n - 3

-9(2g - 3)

• 18g + 27

• -18g + 27

• -18g - 27

• 18g - 27

Factorise in simplest form: 6x + 12

• 3(2x + 4)

• 6(x+2)

• 6x(x+2)

• 1/2 (3x + 24)

Factorise 12x - 20

• 6(2x - 3)

• 4(3x - 5)

• 4x(3x - 5)

• 3(4x + 6)

Factorise, taking a negative as the HCF -8x - 10

• 4(2x - 3)
• -2(4x + 5)
• -2(4x - 5) 
• 4(2x + 3)

Simplify 3x + 2y - 2x + 3y.

• x + 5y

• 5x + 5y

• 5x + y

• 5x - 5y

Expand and simplify 3(x + 2) + 4(2x +1).

• 11x + 10

• 11x + 7

• 7x + 10

• 11x + 3

Distribute and combine like terms:
(2x + 4)(x - 8)

• 2x² - 12x - 32
• 2x² - 4x - 32
• 2x² - 12x - 4
• 2x² - 4x - 4

Expand the squared binomial.
(x - 5)²?

• x² + 25
• x² - 25
• x² - 10x - 25
• x² - 10x + 25