Question: Rewrite without parentheses. (5a^4b^3 - 3b^5)(6a^2b) Simplify your answer as much as possible.

Rewrite without parentheses. (5a^4b^3 - 3b^5)(6a^2b) Simplify your answer as much as possible.

Solution

To simplify the expression \((5a^4b^3 - 3b^5)(6a^2b)\), follow these steps: Distribute \(6a^2b\) to each term inside the parentheses: \[ (5a^4b^3)(6a^2b) - (3b^5)(6a^2b) \] Simplify each term separately. For the first term: \[ 5a^4b^3 \times 6a^2b = 30a^{4+2}b^{3+1} = 30a^6b^4 \] For the second term: \[ 3b^5 \times 6a^2b = 18a^2b^{5+1} = 18a^2b^6 \] Combine the simplified terms: \[ 30a^6b^4 - 18a^2b^6 \] The final simplified expression is: \[ 30a^6b^4 - 18a^2b^6 \]