Final answer:
The expression (r + b - g)(b + g) simplifies to -95 when the given values r=6, b=4, and g=-9 are substituted.
Step-by-step explanation:
The student has provided values for variables r, b, and g, and is asking to simplify the expression (r + b - g)(b + g) using the given values. This is a question related to algebraic simplification, which is a common topic in high school mathematics.
To solve this problem, we need to substitute the given values into the expression and simplify. Using r=6, b=4, and g=-9, the expression becomes:
(6 + 4 - (-9))(4 + (-9))
First, we will simplify inside the parentheses:
- r + b - g = 6 + 4 + 9 = 19
- b + g = 4 - 9 = -5
Then, we multiply the simplified terms:
19 * (-5) = -95
Therefore, the simplified result of the expression (r + b - g)(b + g) with the given values is -95.