Factoring Differences of Perfect Squares

We can't factor using difference of two square this

25x² - 51y². 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 we can't factor using difference of two squares if it is addition sign.

We can't factor using difference of two square this

49x² + 4y². Why?

• Because 4 is not a perfect cubed number.

• Because 4 is not a perfect squared number.

• Because 49 is not a perfect squared number.

• Because we can't factor using difference of two squares if it is addition sign.

4x² - 16

• 4(2x + 4) (x - 2)

• 4(4x + 2) (x - 2)

• (2x + 4) (2x - 4)

• 4(x + 2) (x - 2)

Which of the following is factor of 4x² - 25?

• 4x + 25

• 2x - 5

• 4x-5

• None

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

x² - 9

• (x + 3)²

• (x + 3) (x - 3)

• (x - 3)²

• x + 3(x - 3)

4m² + 49

• (2m + 7) (2m - 7)
• (2m - 7) (2m - 7)
• (m + 7) (m - 7)
• Can't factor using Diff. of Squares

4a² - 25

• (2a + 5) (2a - 5)
• (2a - 5) (2a - 5)
• (x + 5) (x - 5)
• Can't factor using Diff. of Squares

q² - 121

• (q + 11) (q - 11)
• (q - 11) (q - 11)
• (q + 11) (q + 11)
• Can't factor using Diff. of Squares

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Unfactorable