Factoring Differences of Two Squares

One of the factors of (a ² - 1 ) is

• ( a - 1)

• ( a² + 1)

• Both

• None of the above

( 4x² - 4 ) = ( 2x - 2 ) ( 2x + ___)

If the area of your garden is ( d^{2 _} 16 ) and the length is

( d + 4) , what is the width?

• ( d+ 2)

• ( d - 2)

• ( d + 4)

• (d - 4)

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.

Factor ( 4a² - 36 )

• ( a - 6 ) ( a - 6 )

• ( 2a + 6 ) ( 2a - 6 )

• ( a + 6 ) ( a + 6 )

Factor 4m² - 49

• (2m + 7) (2m - 7)

• (2m - 7) (2m - 7)

• (m² + 7) (m² - 7)

• Can't factor using Diff. of Squares

Factor r² - 9t²

• (r + 3t) (r - 3t)

• (r - 3t) (r - 3t)

• (3r + t) (3r - t)

• (r + 3t) (r + 3t)

Factor 121x² - 49

• (11x - 7) ²

• (11x - 7) (11x - 7)

• (11x + 7) (11x - 7)

• (12x + 7) (12x - 7)

r² - 9t²

• (r + 3t) (r - 3t)

• (r - 3t) (r - 3t)

• (3r + t) (3r - t)

• Can't factor using Diff. of Squares

36x² - 64

• (6x - 8)(6x + 8)

• 4(3x - 4)(3x + 4)

• Not Factorable

• (9x - 16)(9x + 16)