Factor Polynomials Difference of Two Squares

Factor 25x²-81.

• (5x-9)²

• 25(x-9)²

• (5x+9)(5x-9)

• Prime

Factor m² - 144

• (m - 12)(m - 12)

• (m - 12)(m + 12)

• (m - 12)

• (m + 12)²

If one factor of the difference of two squares is x + 2, what is the other factor?

• x - 2

• x² - 2

• x² - 2²

• (x - 2)²

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

32n² - 50
(Check for a GCF)

• (16n - 25)(16n + 25)

• 2(8n - 25)(8n + 25)

• 2(4n + 5)(4n - 5)

• Not Factorable

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Which binomials are a difference of two squares?

• I only

• III only

• III and IV

• II, III, and IV

Factor:
49-4y²

• (y+7)(y-7)

• (2y+7)(2y-7)

• (7-4y)(7+4y)

• (7-2y)(7+2y)

Factor

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Does not factor (prime)

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

x² - 100

• ( x - 10) ( x - 10)

• ( x + 10) ( x + 10)

• Does not factor (prime)

• ( x - 10) ( x + 10)