Question

Professor Turner wrote the expression below on the chalkboard for his team at the Research Center. He asked the scientists there to write an equivalent expression that eliminated the parentheses.

Answer 1

12x + 18y + 6z + 4x - 4z

Explanation:

Given the expression : 3(4x + 6y + 2z) + 4(x – z)

To eliminate the parenthesis ; we use the distributive property :

3(4x + 6y + 2z) + 4(x – z) becomes ;

3*4x + 3*6y + 3*2z + 4*x + 4*-z

12x + 18y + 6z + 4x - 4z

Hence,

12x + 4x + 18y + 6z - 4z

16x + 18y + 2z