20) Use the distributive property to factor the expression. 10xz - 20yz

A) z (10x - 20y)

B) 10 (xz - 2yz)

C) 10z (x - 2y)

D) xyz (10 - 20)

C. 10z (x - 2y)

Step-by-step explanation:

10xz - 20y

Factor the terms

Factors of 10xz = 2 * 5 * x * z

Factors of - 20yz = (-1) * 2 * 2 * 5 * y * z

Identify their greatest common factor

The common factors are 2, 5, and z. The greatest common factor is 10z.

Rewrite them with the GCF as a factor

10xz = 10z * x

-20yz = 10z * (-2y)

Replace the terms in the original expression with the factored terms

10xz - 20yz = 10z (x) + 10z (-2y)

Use the distributive property to isolate the greatest common factor

10z (x) + 10z (-2y) = 10z (x - 2y)