Questions: Multiply. Simplify your answer. 4 h^3(-4 h^3-6 h^2+3 h)

Solution Steps

To solve the given expression, we need to distribute \(4h^3\) to each term inside the parentheses. This involves multiplying \(4h^3\) by \(-4h^3\), \(-6h^2\), and \(3h\) separately, and then combining the results.

We start by distributing \(4h^3\) to each term inside the parentheses: \[ 4h^3 \left(-4h^3 - 6h^2 + 3h\right) \]

Next, we multiply \(4h^3\) by each term inside the parentheses: \[ 4h^3 \cdot (-4h^3) + 4h^3 \cdot (-6h^2) + 4h^3 \cdot (3h) \]

We simplify each product: \[ 4h^3 \cdot (-4h^3) = -16h^6 \] \[ 4h^3 \cdot (-6h^2) = -24h^5 \] \[ 4h^3 \cdot (3h) = 12h^4 \]

We combine the simplified terms: \[ -16h^6 - 24h^5 + 12h^4 \]

Final Answer