Difference of Squares

Which of the following are in the form of difference of squares? Select all that apply.

• (x - 3)(x + 3)

• (2d - 5)(2d - 5)

• (f + 6)(f - 6)

• (k² - 10)(k² + 10)

• (y + 1)(y + 1)

Which of the following are in the form of difference of squares? Select all that apply.

• 169x⁴ - 49

• 36 - 25b²

• 64y² - 81

• 100 - r²

• x² + 4

Find the factors of x² - 144. Select all that apply.

• (x + 12)(x + 12)

• (x - 24)(x + 24)

• (x + 12)(x - 12)

• (x + 24)(x - 24)

• (x - 12)(x + 12)

Factor completely.

a² - 16b²

• ( a + 4b ) ( a - 4b )

• ( a - 4b ) ²

• ( a - 4b ) ( a - 4b )

• ( a + 2b ) ( a - 8b )

Factor the expression completely:

 $-2x^2+18$  

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

•  $-2\left(x+9\right)\left(x+1\right)$  

•  $\left(-2x+9\right)\left(x+2\right)$  

•  $-2\left(x+3\right)\left(x-3\right)$  

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Factor 4y² – 9.

• (2y + 3) (2y – 3)

• (4y + 3) (4y - 3)

• (2y + 3) (2y + 3)

• (2y – 3) (2y – 3)

Factor 25x² - 81.

• (5x² - 9²)²

• (5x + 9) (5x + 9)

• (5x + 9) (5x - 9)

• (5x - 9) (5x - 9)

Factor 121r² - 64t²

• (11r + 8t) (11r - 8t)

• (11r - 8t) (11r - 8t)

• (11r + 8t) (11r + 8t)

• (11r² + 8t) (11r + 8t²)

Factor the expression completely:

 $25x^2+4$  

• Not Factorable

•  $\left(5x-2\right)\left(5x+2\right)$  

•  $\left(5x-4\right)\left(5x-1\right)$  

•  $\left(5x+4\right)\left(5x+1\right)$