Factoring: Difference of Two Squares and GCF

Factor $x^2-81$  

•  $\left(x-3\right)\left(x+3\right)$  

•  $\left(x-9\right)\left(x+9\right)$  

•  $\left(x-81\right)\left(x+81\right)$  

•  $x\left(x-81\right)$  

Tags

CCSS.HSA.APR.C.4

Factor $x^2-16$  

•  $\left(x-8\right)\left(x+8\right)$  

•  $\left(x-6\right)\left(x+6\right)$  

•  $\left(x-4\right)\left(x+4\right)$  

•  $x\left(4x-1\right)$  

Tags

CCSS.HSA.APR.C.4

Factor 4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

Tags

CCSS.HSA.APR.C.4

Factor 49x² - 144y²

• (7x + 16y) (7x - 16y)

• (7x + 12y)²

• (12x + 7y) (12x - 7y)

• (7x + 12y) (7x - 12y)

Tags

CCSS.HSA.APR.C.4

We can't factor using difference of two square this  $25x^2-51y^2$ . Why?

• Because 51 is not a perfect cubed number.

• Because 51 is not a perfect squared number.

• Because 25 is not a perfect squared number.

• Because 25 times 51 is not a perfect square.

Tags

CCSS.HSA.APR.C.4

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

Tags

CCSS.6.NS.B.4

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Use the X-Method

What is the GCF? 

 $5x^2+20x$  

• 5

• x

• 5x

• 20x

Tags

CCSS.HSA.APR.A.1

What is the GCF? 

 $3x^2-2x$  

• 3

• 3x

• x

• 2

Tags

CCSS.HSA.APR.A.1