Factoring GCF and Difference of Squares

• (x - 5)

• (x - 5x)

• (x - 5)

• x²(1 - 5)

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

Factor by using GCF:
Remember that the answer should be written as GCF(quotient)

• 25(10x³ + 45x - 15)

• 5(2x³ + 3x² - x)

• x(10x³ + 15x - 5)

• 5(2x² + 3x - 1)

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

• x(3x² + 9x - 15) 

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15) 

• x(3x² -9x + 15) 

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

• Yes, because the teacher is always right!

• No, because 9 doesn't divide into 18 and 36. There are too many variables.

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Which of these can ONLY BE factored using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group