Mastering Binomials and Polynomials

What is the result of (a + b)(a - b)?

• a^2 - b^2

• ab

• a^2 + b^2

• a^2 - 2b

Factor the expression x^2 - 16.

• (x - 8)(x + 2)

• (x + 4)(x + 4)

• (x - 4)(x + 4)

• (x - 4)(x - 4)

Expand the expression (2x + 3)^2.

• 2x^2 + 9x + 3

• 4x^2 + 12x + 9

• 4x^2 + 6x + 9

• 8x^2 + 3

Use the distributive property to simplify 3(x + 4).

• x + 12

• 3x + 4

• 3x + 12

• 3x + 7

Identify if x^2 + 6x + 9 is a perfect square trinomial.

• Yes, it is a perfect square trinomial.

• It can be factored into two distinct binomials.

• It is a cubic polynomial, not a trinomial.

• No, it is not a perfect square trinomial.

Factor the binomial 5x^2 - 20.

• 5(x - 1)(x + 1)

• 5(x - 4)(x + 4)

• 5(x - 2)(x + 2)

• 5(x - 3)(x + 3)

Expand the expression (x - 5)(x + 5).

• x^2 + 10

• x^2 - 25

• x^2 + 25

• x^2 - 10

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

• 6y^2 - 4

• 9y^2 - 6

• 9y^2 - 4

• 9y^2 + 4

Factor the expression x^2 + 10x + 25.

• (x + 10)(x + 15)

• (x + 2)(x + 3)

• (x - 5)(x - 5)

• (x + 5)^2

Use the distributive property to simplify 4(2x - 3) + 5.

• 8x + 5

• 4x - 3

• 8x - 7

• 2x - 3