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)

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.C.4

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)

Tags

CCSS.HSA.APR.C.4

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)

Tags

CCSS.HSA.APR.C.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)

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.C.4