Algebraic Expansion Quiz

What is the result of expanding (3 + 2c)(5 + c)?

• 15 + 13c + 2c²

• 15 + 10c + c²

• 15 + 11c + 2c²

• 15 + 12c + c²

Expand and simplify (9 + 2x)(3 - 2x).

• 27 + 12x - 6x²

• 27 + 6x - 18x²

• 27 + 12x - 18x²

• 27 - 6x - 18x²

What is the expanded form of (9 - 4y)(2 + 3y)?

• 18 - 6y + 12y²

• 18 - 18y + 12y²

• 18 - 6y - 12y²

• 18 - 18y - 12y²

Expand and simplify (3w + 2)(3w - 2).

• 9w² - 4

• 9w² + 4

• 9w² - 12w + 4

• 9w² - 12w - 4

What is the result of expanding (2y + 3)(2y - 3)?

• 4y² - 9

• 4y² + 9

• 4y² - 12y + 9

• 4y² - 12y - 9

Expand and simplify (5w - 1)(5w + 1).

• 25w² - 1

• 25w² + 1

• 25w² - 10w + 1

• 25w² - 10w - 1

What is the expanded form of (9 - 5a)(9 + 5a)?

• 81 - 25a²

• 81 + 25a²

• 81 - 45a + 25a²

• 81 - 45a - 25a²

Expand and simplify (1 - 2x)(1 + 2x).

• 1 - 4x²

• 1 + 4x²

• 1 - 2x + 4x²

• 1 - 2x - 4x²

What is the result of expanding (3 + 2y)(3 - 2y)?

• 9 - 4y²

• 9 + 4y²

• 9 - 12y + 4y²

• 9 - 12y - 4y²

Expand and simplify (a + 2)².

• a² + 4a + 4

• a² + 2a + 4

• a² + 4a + 2

• a² + 2a + 2