Question: Rewrite without parentheses. 9r^2(7s^4 - 8r^5 + 2) Simplify your answer as much as possible.

Rewrite without parentheses. 9r^2(7s^4 - 8r^5 + 2) Simplify your answer as much as possible.

Solution

To simplify the expression by rewriting it without parentheses, follow these steps: Given expression: \[ 9r s^2 \left( 7s^4 - 8r^5 + 2 \right) \] Distribute \(9r s^2\) to each term inside the parentheses. First, distribute to \(7s^4\): \[ 9r s^2 \cdot 7s^4 = 63r s^{2+4} = 63r s^6 \] Next, distribute to \(-8r^5\): \[ 9r s^2 \cdot (-8r^5) = -72r^{1+5} s^2 = -72r^6 s^2 \] Finally, distribute to \(2\): \[ 9r s^2 \cdot 2 = 18r s^2 \] Combine all the simplified terms: \[ 63r s^6 - 72r^6 s^2 + 18r s^2 \] This is the expression rewritten without parentheses and simplified.