Question

Expand and fully simplify the following expression: 3(r-1)+2(3r+5)

Answer 1

To expand and simplify the expression 3(r-1)+2(3r+5), distribute the coefficients and combine like terms to get the simplified expression 9r + 7.

Step-by-step explanation:

To expand and fully simplify the expression 3(r-1)+2(3r+5), we follow these steps:

1. Distribute the coefficients by multiplying them with each of the terms inside the parentheses.
2. Combine like terms.

Starting with the distribution:

1. 3(r-1) becomes 3r - 3.
2. 2(3r+5) becomes 6r + 10.

Now, combine the like terms (terms with r and the constant terms):

1. 3r + 6r becomes 9r.
2. -3 + 10 becomes 7.

After combining, the fully simplified expression is 9r + 7.