Factor Cubes Gcf

Identify if the expression can be factored as sum or difference of cubes:

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

Identify if the expression can be factored as sum or difference of cubes:

• No

• Yes, getting GCF first

• Yes

• It is a difference of two squares

Factor using sum or difference of cubes. (use your notes!)

• (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:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Use the X-Puzzle

Factor 64-27a³

• (4-3a)(9a²+12a+16)

• (3a-4)(3a²+12a+16)

• (4-3a)(3a²+12a+16)

• (4-3a)³

Factor the following binomial: 8x³-27

• (2x+3)(4x²-6x+9)

• (2x-3)(4x²+6x+9)

• (2x-3)(4x²+6x-9)

• (2x-3)(2x²+6x+9)

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)