Factoring Special Cases of Binomials and Trinomials

This video tutorial covers special cases of factoring, including the difference of perfect squares, perfect square trinomials, sum of cubes, and difference of cubes. It provides formulas and examples for each case, helping viewers understand how to apply these techniques to factor various algebraic expressions.

What is the formula for factoring a difference of perfect squares?

• A^2 + B^2 = A^2 + 2AB + B^2

• A^2 - B^2 = A^2 - 2AB + B^2

• A^2 + B^2 = (A + B)^2

• A^2 - B^2 = (A + B)(A - B)

How do you factor a perfect square trinomial?

• A^2 + 2AB - B^2 = (A + B)(A - B)

• A^2 + B^2 = (A + B)(A - B)

• A^2 - 2AB + B^2 = (A - B)^2

• A^2 + 2AB + B^2 = (A + B)^2

What is the factored form of x^2 - 16?

• x^2 - 16 = (x + 4)(x - 4)

• x^2 - 16 = (x + 16)(x - 16)

• x^2 - 16 = x^2 - 8x + 16

• x^2 - 16 = (x - 4)^2

What is the factored form of x^2 - 49?

• x^2 - 49 = (x + 7)(x - 7)

• x^2 - 49 = (x - 7)^2

• x^2 - 49 = (x + 49)(x - 1)

• x^2 - 49 = x^2 - 14x + 49

How is the expression x^2 + 10x + 25 factored?

• x^2 + 10x + 25 = (x + 10)(x + 2.5)

• x^2 + 10x + 25 = (x + 25)(x + 1)

• x^2 + 10x + 25 = (x + 5)^2

• x^2 + 10x + 25 = x^2 + 5x + 25

What is the factored form of 9a^2 + 24a + 16?

• 9a^2 + 24a + 16 = 9a^2 + 12a + 16

• 9a^2 + 24a + 16 = (3a - 4)^2

• 9a^2 + 24a + 16 = (9a + 16)(a + 1)

• 9a^2 + 24a + 16 = (3a + 4)^2

How do you factor the sum of perfect cubes?

• A^3 + B^3 = (A - B)(A^2 + AB + B^2)

• A^3 + B^3 = (A + B)^3

• A^3 + B^3 = A^3 + 3A^2B + 3AB^2 + B^3

• A^3 + B^3 = (A + B)(A^2 - AB + B^2)

What is the factored form of x^3 + 8?

• x^3 + 8 = (x + 2)^3

• x^3 + 8 = (x - 2)(x^2 + 2x + 4)

• x^3 + 8 = x^3 + 12x^2 + 48x + 64

• x^3 + 8 = (x + 2)(x^2 - 2x + 4)

How is the expression 27x^3 + 64 factored?

• 27x^3 + 64 = (3x + 4)^3

• 27x^3 + 64 = (3x - 4)(9x^2 + 12x + 16)

• 27x^3 + 64 = 27x^3 + 64x^2 + 256x + 1024

• 27x^3 + 64 = (3x + 4)(9x^2 - 12x + 16)

How do you factor the difference of perfect cubes?

• A^3 - B^3 = (A + B)(A^2 - AB + B^2)

• A^3 - B^3 = (A - B)(A^2 + AB + B^2)

• A^3 - B^3 = A^3 - 3A^2B + 3AB^2 - B^3

• A^3 - B^3 = (A - B)^3