Question

simplify, if necessary.

\\-2x^6(5x^6 + 3x^3 + 7)\\

Explanation:

Distribute the monomial to each term

Using the Multiplying Monomial by Polynomial knowledge point

$$ -2x^6(5x^6 + 3x^3 + 7) = (-2x^6)(5x^6) + (-2x^6)(3x^3) + (-2x^6)(7) $$

Apply the product rule of exponents

Using the Product Rule of Exponents knowledge point

$$
LATEXBLOCK0
$$

Combine the terms to write the final polynomial

Using the Polynomial Simplification knowledge point

$$ -10x^{12} - 6x^9 - 14x^6 $$

Answer:

\(-10x^{12} - 6x^9 - 14x^6\)