Factor - Difference of Squares

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

y² - 196

• ( y - 14 ) ( y - 14 )

• ( y + 14 ) ( y - 14 )

• ( y + 13 ) ( y - 13 )

• ( y - 13 ) ²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

121x² - 49

• ( 11x - 7 ) ²

• ( 11x - 7 ) ( 11x - 7 )

• ( 11x + 7 ) ( 11x - 7 )

• ( 12x + 7 ) ( 12x - 7 )

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

64x² - 49y²

• ( 8x + 7 ) ( 8x - 7 )

• ( 8x - 7y ) ( 8x - 7y )

• ( 8x + 7y ) ( 8x - 7y )

• ( 8x - 7y )²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

225x² - 169y²

• ( 15x - 13y )²

• ( 15x + 13 ) ( 15x - 13 )

• ( 25x + 13y ) ( 25x - 13y )

• ( 15x + 13y ) ( 15x - 13y )

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

a² - 16b²

• ( a + 4b ) ( a - 4b )

• ( a - 4b ) ²

• ( a - 4b ) ( a - 4b )

• ( a + 2b ) ( a - 8b )

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

49x² + 16

• ( 7x + 4 ) ( 7x - 4 )

• ( 7x + 4 ) ( 7x + 4 )

• ( 7x - 4 ) ²

• does not factor (SUM of squares)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

x²y² - 9

• ( xy - 3 ) ( xy - 3 )

• ( xy + 3 ) ( xy - 3 )

• ( xy - 3 ) ²

• ( xy )² - 3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.

x⁴ - 1

• ( x² + 1 ) ( x² - 1 )

• ( x + 1 ) ( x + 1 ) ( x + 1 ) ( x - 1 )

• ( x² - 1 ) ²

• ( x² + 1 ) ( x + 1 ) ( x - 1 )

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2