Q:

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)

Accepted Solution

A:
Answer: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)