Factorize by grouping: 6x^2 + 42x + 8x + 56.

  • (6x + 7)(x + 8)
  • (6x + 8)(x – 7)
  • (6x + 8)(x + 7)
  • (6x – 8)(x + 7)
  • (6x + 8)(x + 7)

Factorize by grouping: 2x^2 + 8x + 6x + 24.

  • (2x – 6)(x + 4)
  • (2x + 4)(x + 6)
  • (2x + 6)(x + 4)
  • (2x + 6)(x – 4)
  • (2x + 6)(x + 4)


Factorize by grouping: 5x^2 + 10x + 8x + 16.

  • (5x + 8)(x + 2)
  • (5x – 8)(x + 2)
  • (5x + 8)(x – 2)
  • (5x + 2)(x + 8)
  • (5x + 8)(x + 2)

Factorize by grouping: 8x^2 + 40x + 6x + 30.

  • (8x + 6)(x – 5)
  • (8x + 6)(x + 5)
  • (8x + 5)(x + 6)
  • (8x – 6)(x + 5)
  • (8x + 6)(x + 5)


Expand and simplify: (10x – 3)^2.

  • 100x^2 – 30x + 9
  • 100x^2 + 60x + 9
  • 100x^2 – 60x + 9
  • 100x^2 – 60x – 9
  • 100x^2 - 60x + 9

Expand and simplify: (x + 2)^2. [Unique SSC algebra item 3]

  • x^2 + 2x + 4
  • x^2 – 4x + 4
  • x^2 + 4x + 4
  • x^2 + 4x – 4
  • x^2 + 4x + 4

Use identity to expand: (6x + 9)(6x – 9).

  • 36x^2 + 81
  • 36x^2 – 81
  • 36x^2 + 108x – 81
  • 36x^2 – 108x – 81
  • 36x^2 - 81

Expand and simplify: (12x – 6)^2.

  • 144x^2 – 144x + 36
  • 144x^2 – 144x – 36
  • 144x^2 – 72x + 36
  • 144x^2 + 144x + 36
  • 144x^2 - 144x + 36

Use identity to expand: (6x + 4)(6x – 4).

  • 36x^2 + 16
  • 36x^2 – 48x – 16
  • 36x^2 + 48x – 16
  • 36x^2 – 16
  • 36x^2 - 16


Expand and simplify: (3x – 6)^2.

  • 9x^2 – 36x + 36
  • 9x^2 + 36x + 36
  • 9x^2 – 36x – 36
  • 9x^2 – 18x + 36
  • 9x^2 - 36x + 36