Factoring and Expanding Linear Expressions

Factor:
14x + 20

• 2(7x + 10)

• 4(2x + 5)

Factor.
2xy - 14y + 10xyz

• Nothing can be factored

• 2(xy -7y + 5xyz)

• 2y(x - 7 + 5xz)

• 2xyz(1 - 7 + 5)

-9(2g - 3) Expand the expression.

• 18g + 27

• -18g + 27

• -18g - 27

• 18g - 27

Factor Completely (Using a negative factor):

-9u - 81

• 9(u + 9)

• -9(u - 9)

• -9(u + 9)

• -90u

Factor -8x - 10 (Using a negative factor)

• -4(2x - 3)

• -2(4x + 5)

• -2(4x - 5) 

• -4(2x + 3)

-10m - 35 (Using a negative factor)

• -5m (2 + -7n)

• -5m (2 + 7n)

• -5 (2m + 7)

• -5 (2m + 7n)

Factor
5x + 25

• can't be factored

• 5(x + 5)

• 5(1 + 5)
  5(1 + 5)

• 5(x + 25)

2y + 2

• 2(2y + 2)

• 2(y + 1)

• 1(y + 2)

• 2(y + 2)

7c + 56

• 7(c + 7)

• Cannot Be Factored

• 7(c + 8)

• 7(c + 9)

-6z + 42

• 6(-z + 7)

• -6(z - 7)

• Cannot Be Factored

• -3(2z + 14)