SUM and DIFFERENCE OF SQUARES

Factor x² – 16.

• (x + 2)(x – 8)
• (x – 4)(x – 4)
• (x + 4)(x + 4)
• (x + 4)(x – 4)

Tags

CCSS.HSA.APR.C.4

Factor 4y² – 9.

• (2y + 3)(2y – 3)
• prime
• (2y + 3)(2y + 3)
• (2y – 3)(2y – 3)

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.A.1

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.APR.C.4

Factor completely.

64x² - 49y²

• ( 8x + 7 ) ( 8x - 7 )

• ( 8x - 7y ) ( 8x - 7y )

• ( 8x + 7y ) ( 8x - 7y )

• ( 8x - 7y )²

Tags

CCSS.HSA.APR.C.4

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.

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

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Use the X-Puzzle

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4