It seems like you have a mathematical expression that needs clarification or simplification. However, the expression as written is not entirely clear.
Your expression appears to be "0.5a(b - 3) * 3a * 3b^6". Here’s how to simplify this step-by-step:
Distribute: First, distribute \( 0.5a \) in the term \( 0.5a(b - 3) \): \[ 0.5a(b - 3) = 0.5ab - 1.5a \]
Combine the terms: Now let's write the entire expression with this distribution: \[ (0.5ab - 1.5a) * 3a * 3b^6 \]
Multiply each term by \( 3a * 3b^6 \):
- For the first part, \( 0.5ab \): \[ 0.5ab * 3a * 3b^6 = 0.5 * 3 * 3 * a^2 * b^{1+6} = 4.5a^2b^7 \]
- For the second part, \( -1.5a \): \[ -1.5a * 3a * 3b^6 = -1.5 * 3 * 3 * a^2 * b^6 = -13.5a^2b^6 \]
Combine the two results: \[ 4.5a^2b^7 - 13.5a^2b^6 \]
Factor out the common terms if possible: \[ a^2b^6(4.5b - 13.5) \]
Therefore, the simplified expression is: \[ a^2 b^6 (4.5b - 13.5) \]
If this interpretation of your original expression is incorrect, please clarify further, and I'll be happy to help!
