Factoring the Sum or Difference of Two Cubes

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Complete the formula

a³+b³=

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Factor
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

• Difference of Two Squares

• Sum of Two Cubes

• Difference of Two Cubes

• Square of a Binomial

What must ALWAYS be done before factoring polynomials?

• Factor the difference of two squares

• Look for the value of the variables

• Find the values of a, b and c

• Look for the Greatest Common Factor (GCF)

• Difference of Two Squares

• Sum of Two Cubes

• Difference of Two Cubes

• Square of a Binomial

Factoring the sum or difference of two cubes can be used ONLY if the two terms of the binomials have perfect square roots.

• TRUE

• FALSE