The cost of three different types of school supplies for five students is represented by the expression 5(7x - 3y +6z). What is an expression equivalent to 5(7x - 3y - 6z) that results from using the distributive property?

1 answer

The distributive property states that a(b + c) = ab + ac. Applying this property to the expression 5(7x - 3y + 6z), we get:

5(7x - 3y + 6z)
= 5(7x) + 5(-3y) + 5(6z)
= 35x - 15y + 30z

Therefore, an expression equivalent to 5(7x - 3y - 6z) that results from using the distributive property is 35x - 15y - 30z.