Difference of Squares and Cubes

Factor x² – 16.

• (x + 2)(x – 8)

• (x – 4)(x – 4)

• (x + 4)(x + 4)

• (x + 4)(x – 4)

Factor 4y² – 9.

• (2y + 3)(2y – 3)

• prime

• (2y + 3)(2y + 3)

• (2y – 3)(2y – 3)

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Factor completely.

y² - 196

• ( y - 14 ) ( y - 14 )

• ( y + 14 ) ( y - 14 )

• ( y + 13 ) ( y - 13 )

• ( y - 13 ) ²

Factor completely.

225x² - 169y²

• ( 15x - 13y )²

• ( 15x + 13 ) ( 15x - 13 )

• ( 25x + 13y ) ( 25x - 13y )

• ( 15x + 13y ) ( 15x - 13y )

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27X³-343? 

• DIFFERENCE OF TWO CUBES

• DIFFERENCE OF TWO SQUARES 

• FACTORING BY GCF 

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27a³-729? 

• FACTORING BY GCF 

• DIFFERENCE OF TWO SQUARES

• DIFFERENCE OF TWO CUBES 

• DIAMOND AND BOX METHOD 

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)

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:x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime