Difference of Square and Sum/Difference of Cubes

25x² - 36y²

• 5x + 6y(5x - 6y)

• (5x + 6y) (5x - 6y)

• (5x + 6y)²

• (5x - 6y)²

Tags

CCSS.HSA.APR.C.4

64x² - 81y²

• (8x + 7y) (8x - 7y)

• (8x + 9y) (8x - 9y)

• (6x + 7y) (6x - 7y)

• (6x + 9y) (6x - 9y)

Tags

CCSS.HSA.APR.C.4

4x² - 1

• (2x + 1) (2x + 1)

• (4x + 1) (4x - 1)

• (2x + 1/2) (2x - 1/2)

• (2x + 1) (2x - 1)

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
8x³-27

• (2x+3)(4x²-6x+9)
• (2x-3)(4x²+6x+9)
• (2x-3)(4x²+6x-9)
• (2x-3)(2x²+6x+9)

Tags

CCSS.HSA.APR.C.4

x³ - 1000

• (x + 10)(x² - 10x + 100)
• (x - 10)(x² + 10x + 100)
• (x - 1)(x² + 1x + 1)
• (x - 5)(x² + 5x + 25)

Tags

CCSS.HSA.APR.C.4

64x³ + 1

• (4x - 3)(16x² + 12x + 9)
• (3x - 1)(9x² + 3x + 1)
• (2x - 1)(4x² + 2x + 1)
• (4x + 1)(16x² - 4x + 1)

Tags

CCSS.HSA.APR.C.4

125x³ - 64

• (5x - 4)(25x² + 20x + 16)
• (5x + 2)(25x² - 10x + 4)
• (3x - 1)(9x² + 3x + 1)
• (4x - 3)(16x² + 12x + 9)

Tags

CCSS.HSA.APR.C.4

(7r-6)(7r+6)

• 49r²+36

• 49r²-36

• 49r²+84r+36

• 49r²+42r+36

Tags

CCSS.HSA.APR.A.1

Simplify:
(x-7)²

• x²-49
• x²+49
• x²-14x+49
• x²-14x-49

Tags

CCSS.HSA.APR.C.4