Question

simplify the following expression.

\\5h^3(5h^2 - h - 3)\\

\\25h^5 - 5h^4 - 15h^{?}\\

Explanation:

Apply the distributive property

Using the Distributive Property and Multiplying Monomials and Polynomials knowledge points

$$ 5h^3(5h^2 - h - 3) = (5h^3 \cdot 5h^2) + (5h^3 \cdot (-h)) + (5h^3 \cdot (-3)) $$

Multiply the individual terms

Using the Product Rule of Exponents knowledge point

$$
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$$

Combine the simplified terms

Combine the terms to write the final simplified expression:

$$ 25h^5 - 5h^4 - 15h^3 $$

Comparing this result to the given expression \(25h^5 - 5h^4 - 15h^{[?]}\), the missing exponent is \(3\).

Answer:

Simplify the following expression.

$$5h^3(5h^2 - h - 3)$$

$$25h^5 - 5h^4 - 15h^{\text{3}}$$