Factoring

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)
• 3abc(6ab³ + 8b²c)
• 6abc(3ab³ + 4c)
• 6ab3c(3b + 4c)

What is the greatest common factor of the two terms in the expression x⁵y²+x²y⁷z

• x²
• x²y²z
• x²y²
• x⁵y⁷z

Factor
12j²k³ - 20hj

• 4j(3jk³ - 5h)
• 4j(6jk³ - 10h)
• 4j(3jk² - 5h)
• 4j²(24j²k³ - 20h)

Factor
-8x²y² + 32yz + 40y

• 8z(-x² + 4z +1)
• 8y(-4x²y² + 16yz + 20y)
• 8y(-x²y + 4z + 5)
• 4y (-2x²y + 40z + 10)

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

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

We can't factor using difference of two square on this binomial:

 $49x^2+4y^2$  

Why?

• Because 4 is not a perfect cubed number.

• Because 4 is not a perfect squared number.

• Because 49 is not a perfect squared number.

• Because we can't factor using difference of two squares because there is an addition sign.

x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

r² - 9t²

• (r + 3t) (r - 3t)
• (r - 3t) (r - 3t)
• (3r + t) (3r - t)
• Can't factor using Diff. of Squares