Expand, Factorize, and Identities Fun

What is the expanded form of (x + 3)(x + 2)?

• x^2 + 3x + 5

• x^2 + 6x + 5

• x^2 + 5x + 6

• x^2 + 4x + 6

Factorize the expression x^2 + 5x + 6.

• (x + 1)(x + 6)

• (x + 2)(x + 4)

• (x + 2)(x + 3)

• (x + 3)(x + 2)

What is the identity for (a + b)^2?

• a^2 + 2ab + b^2

• a^2 + b^2

• a^2 + 2b^2

• 2a + 2b

Expand the expression 2(x + 4).

• x + 8

• 2x + 4

• 2x + 2

• 2x + 8

Factorize the expression x^2 - 9.

• (x - 3)(x + 3)

• (x - 9)(x + 1)

• (x + 3)(x + 3)

• (x - 3)(x - 3)

What is the expanded form of (x - 1)(x + 1)?

• x^2 + 2

• x^2 + 1

• x^2 - 2

• x^2 - 1

Using the identity, what is the value of (3 + 2)^2?

• 25

• 30

• 15

• 20

Factorize the expression 2x^2 + 8x.

• 2(x^2 + 4x)

• x(2x + 8)

• 2x(x + 4)

• 2x(x - 4)

What is the expanded form of 3(x + 1) + 2(x + 1)?

• 5x + 5

• 3x + 3

• 4x + 4

• 6x + 6

Using the identity, what is the value of (a + b)(a - b)?

• a^2 - b^2

• ab

• a - b

• a + b