Factoring Difference of Perfect Squares

To factor using Difference of Perfect Squares, each expression needs to have (check all that apply):

• Both terms as perfect squares

• Both terms are positive numbers

• There is a "difference" (meaning a negative sign)

• Variables with odd exponents

Tags

CCSS.HSA.APR.C.4

Which of these can factor using difference of two squares?

• x² - 49

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Tags

CCSS.HSA.APR.C.4

Which is an example of difference of two perfect squares?

• ( x³ - 4)

• ( x² - 3)

• ( x² + 4)

• ( x² - 4)

Tags

CCSS.HSA.APR.C.4

• ( 2X + 6 ) (2X - 6 )

• ( 2X - 6 ) ( 2X - 6 )

• ( 2X - 9 ) ( 2X + 4 )

• ( 2X + 6 ) ( 2X + 6 )

Tags

CCSS.HSA.APR.C.4

In ( d² - 121) , the square root of 121 is

• 11

• 12

• 21

• none of the above

x² - 9

• (x + 3)²

• (x + 3) (x - 3)

• (x - 3)²

• x + 3(x - 3)

Tags

CCSS.HSA.APR.C.4

x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

Tags

CCSS.HSA.APR.C.4

• (x+1)(x +1)

• (x - 1)(x - 1)

• prime

• (x + 1)(x - 1)

Tags

CCSS.HSA.APR.C.4

Factor:
x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.APR.C.4