Factoring When A=1 And Difference Of Perfect Squares

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x - 7y³) 

• Prime

r² - 9t²

• (r + 3t) (r - 3t)

• (r - 3t) (r - 3t)

• (3r + t) (3r - t)

• Can't factor using Diff. of Squares

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• Formula: a² - b² = (a + b) (a - b)

• We can factor because there is minus sign.

(a)  

• A

• B

• C

• D

Which of the following is a difference of perfect squares?

• x² - 18

• 4x² + 36 

• 9x² - 100

• x² + 4

(a)  

• A

• B

• 
  C

• D

( 4x² - 4 ) = ( 2x - 2 ) ( 2x + ___)

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)