Solving Quadratics with Difference of Squares

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4

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)

Tags

CCSS.HSA.APR.C.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)

Tags

CCSS.HSA.APR.C.4

Factor completely.

a² - 16b²

• ( a + 4b ) ( a - 4b )

• ( a - 4b ) ²

• ( a - 4b ) ( a - 4b )

• ( a + 2b ) ( a - 8b )

Tags

CCSS.HSA.APR.C.4

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Tags

CCSS.HSA.APR.C.4

Factor 4y² – 9.

• (2y + 3) (2y – 3)

• (4y + 3) (4y - 3)

• (2y + 3) (2y + 3)

• (2y – 3) (2y – 3)

Tags

CCSS.HSA.APR.C.4

Factor 25x² - 81.

• (5x² - 9²)²

• (5x + 9) (5x + 9)

• (5x + 9) (5x - 9)

• (5x - 9) (5x - 9)

Tags

CCSS.HSA.APR.C.4

Factor 121r² - 64t²

• (11r + 8t) (11r - 8t)

• (11r - 8t) (11r - 8t)

• (11r + 8t) (11r + 8t)

• (11r² + 8t) (11r + 8t²)

Tags

CCSS.HSA.APR.C.4

Factor y² - 196

• (y - 14) (y - 14)

• (y + 14) (y - 14)

• (y + 13) (y - 13)

• (y - 13) ²

Tags

CCSS.HSA.APR.C.4

Factor r² - 9t²

• (r + 3t) (r - 3t)

• (r - 3t) (r - 3t)

• (3r + t) (3r - t)

• (r + 3t) (r + 3t)

Tags

CCSS.HSA.APR.C.4